High-intensity Magnetic Field Research Articles

Preliminary design of a coil system for a large-scale high-intensity magnetic field immunity test platform

For the safety and reliability concerns for the Chinese Fusion Engineering Test Reactor (CFETR) and future tokamak devices, a large-scale high-intensity static magnetic field immunity test platform is planned in Chinese Academy of Sciences, Institute of Plasma Physics (ASIPP). This paper presents the preliminary design of the coil system which is used to generate a high-strength uniform magnetic field in a large test zone. At first, a magnetic field homogeneity analysis is performed to determine the structural parameters of the test coil which satisfies the test requirement at a low power loss. The electrical parameters of the coil are then determined based on the structural parameters. In addition, the design of cooling system for the test coil is performed based on theoretical analysis, and then verified by a CFD analysis. The square-shaped designed coil system is able to continuously generate a uniform magnetic field with a field strength over 700 m T in a test zone with a side-length of 2.1 m, which enables the immunity test for large devices at a nominal test level up to 500 m T. It is of great value to ensure the reliable operation of electrical and electronic equipment in CFETR and future devices.

Reduction of photon contamination in electron therapy of cancer with magnetic fields

Introduction: Photon contamination is a restriction on treatment with electron that increase dose to healthy tissue below the tumor. The aim of this study is to reduce the photon contamination using a magnet system. Materials and Methods: A mini-applicator equipped with two neodymium boron permanent magnets was designed which make it possible to adjust the distance between magnets. Mini-applicator was placed in standard applicator of Varian 2100 CD linear accelerator. Mini-applicator was modeled in CST studio finite element software. Deflection angle and displacement of electron beam transporting through magnetic field were calculated. Different transverse magnetic intensities were created by determining the amount of 2 to 5 cm for distance between two poles. The treatment head was rotated to deflected electrons become normal to the water surface. Dosimetry was performed in a water phantom using EBT2 gafchromic film. Films were scanned with HP G3010 reflecting scanner. Optical density in red channel was extracted by programming in MATLAB. Dose curves in presence of magnetic field compared with frame without magnetic field. Results: Simulated and measured magnetic field intensities are consistent. Maximum deflection angle is 32.9 degree for 12 MeV and minimum deflection is 12.1 degree for 15 MeV electron beam. Scanned film showed clearly that photons exit from electron field. The photon contaminations without magnetic field were 4.5 and 2.6 percent for 15 and 12 MeV respectively which using highest magnetic field intensity have decreased to 0.9 and 0.2 percent. Conclusion: A magnetic mini-applicator was created and modeled using finite element method. The deflection angle and displacement of electrons beam was calculated. By applying magnetic field, photon contamination can be reduced. Energetic electrons can be used without concern for adverse effects on healthy depth tissue.

Effects of 3.7 T–24.5 T high magnetic fields on tumor-bearing mice**Project supported by the National Key R&D Program of China (Grant Nos. 2016YFA0400900 and 2017YFA0402903), the National Natural Science Foundation of China (Grant Nos. U1532151 and 51627901), the Major/Innovative Program of Development Foundation of Hefei Center for Physical Science, Technology (Grant No. 2016FXCX004), Hefei Science Center, CAS (Grant No. 2016HSC-IU007),

Since high magnetic field (MF) intensity can improve the image quality and reduce magnetic resonance imaging (MRI) acquisition time, the field intensity of MRIs has continued to increase over the past few decades. Although MRIs in most current hospitals are 0.5 T–3 T, there are preclinical studies have been carried out using 9.4 T MRI, and engineers are also putting efforts on building MRIs with even higher MFs. However, the accompanied safety issue of high-field MRIs is an emergent question to address before their clinical applications. In the meantime, the static magnetic field (SMF) has been shown to inhibit tumor growth in previous studies. Here, we investigated both the safety issue and the anti-tumor potentials of 3.7 T–24.5 T SMFs on GIST-T1 gastrointestinal stromal tumor-bearing nude mice. We followed up the mice three weeks after their exposure to high SMF and found that none of the mice died or had severe organ damage, except for slightly decreased food intake, weight gain, and liver function. Moreover, the tumor growth was inhibited by 3.7 T–24.5 T SMFs (up to ∼54%). It is interesting that the effects are more dependent on MF gradient than intensities, and for the same gradient and intensity, mice responded differently to hypogravity and hypergravity conditions. Therefore, our study not only demonstrated the safeness of high SMFs up to 24.5 T on mice but also revealed their anti-tumor potentials in the future.

Outer Core Stratification From the High Latitude Structure of the Geomagnetic Field

The presence of stable stratification has broad implications for the thermal and compositional state of the outer core, the evolution of Earth's deep interior, and the energetics of the geodynamo. Yet the origin, strength, and depth extent of stratification in the region below the core-mantle boundary remain open questions. Here we compare magnetic fields produced by numerical dynamos that include heterogeneous stable thermal stratification below their outer boundary with models of the geomagnetic field on the core-mantle boundary, focusing on high latitude structures. We demonstrate that the combination of high magnetic field intensity regions and reversed magnetic flux spots, especially at high latitudes, constrains outer core stratification below the core-mantle boundary. In particular, we find that the negative contribution to the axial dipole from reversed flux spots is a strong inverse function of the stratification. Comparison of our numerical dynamo results to the structure of the historical geomagnetic field suggests up to 400 km of permeable, laterally heterogeneous thermal stratification below the core-mantle boundary.

English

Geoscience prospecting for gold mineralisation was conducted in Kwakuti town located within Latitudes 9.362500°N to 9.387500°N and Longitudes 6.920833°E to 6.945833°E in Northern Nigeria. The deployed geosciences techniques comprise surface geological mapping, processing and analysis of aeromagnetic total magnetic field intensity data using Oasis Montaj software and X-ray fluorescence analysis of soil samples. Migmatites and gneiss dominate the rock outcrops in the area. The migmatites occupy high elevations on the north-eastern and eastern portion of the area, where they display low magnetic field intensity values. The schist occupies moderate to low elevation areas and they display high magnetic field intensity values. The migmatites are dotted with quartz veins which constitute the gold mineralisation zone. Oval shaped high magnetic anomalous zones within the schist indicate basic intrusive into the schist. First derivative map of the magnetic field intensity data reveal NE-SW trending lineaments. They likely conducted hydrothermal fluids from the basic intrusive into the migmatites on the northeast, where gold mineralisation occurred by metasomatic ionic exchange. Spatial concentration of TiO2 and MnO2 are the highest within the oval shaped high magnetic anomalous zones in the southern portion of the study area. This strengthens the inference that basic intrusive underlies the area. Gold concentration distribution pattern in the area is skewed NE-SW, thereby suggesting that the NE-SW structures control the mineralisation. Mining activities will be more efficient if directed along the NE-SW structural trend. Key words: Aeromagnetic data, aero-radiometric data, geologic mapping, gold mineralisation, X-ray fluorescence.

The reduced fluctuation in the electromagnetic forces of a coreless HTS linear synchronous motor

Two types of high temperature superconducting (HTS) linear synchronous motors (LSMs), which could be potentially used as the traction system of high speed railway were demonstrated in this work. One has a stator made of traditional ferromagnetic yoke and three-phase copper windings and the other has a coreless type stator. Different from the permanent magnet motor, the mover of the HTS LSM was made by HTS coils, which can provide high-intensity magnetic field. The HTS coils were electrically connected in series and powered by DC currents to behave as permanent magnets. To comprehensively study the developed HTS LSMs, finite-element models were established to predict its performance in terms of normal force and thrust force. To validate the simulation model, we designed and fabricated a three-dimensional force-measuring system, which could be used to measure the thrust and normal force of the HTS LSMs under different conditions. This work provides some basic knowledge for the study of the HTS LSM with coreless stator.

Response of Cultured Neuronal Network Activity After High-Intensity Power Frequency Magnetic Field Exposure.

High-intensity and low frequency (1–100 kHz) time-varying electromagnetic fields stimulate the human body through excitation of the nervous system. In power frequency range (50/60 Hz), a frequency-dependent threshold of the external electric field-induced neuronal modulation in cultured neuronal networks was used as one of the biological indicator in international guidelines; however, the threshold of the magnetic field-induced neuronal modulation has not been elucidated. In this study, we exposed rat brain-derived neuronal networks to a high-intensity power frequency magnetic field (hPF-MF), and evaluated the modulation of synchronized bursting activity using a multi-electrode array (MEA)-based extracellular recording technique. As a result of short-term hPF-MF exposure (50–400 mT root-mean-square (rms), 50 Hz, sinusoidal wave, 6 s), the synchronized bursting activity was increased in the 400 mT-exposed group. On the other hand, no change was observed in the 50–200 mT-exposed groups. In order to clarify the mechanisms of the 400 mT hPF-MF exposure-induced neuronal response, we evaluated it after blocking inhibitory synapses using bicuculline methiodide (BMI); subsequently, increase in bursting activity was observed with BMI application, and the response of 400 mT hPF-MF exposure disappeared. Therefore, it was suggested that the response of hPF-MF exposure was involved in the inhibitory input. Next, we screened the inhibitory pacemaker-like neuronal activity which showed autonomous 4–10 Hz firing with CNQX and D-AP5 application, and it was confirmed that the activity was reduced after 400 mT hPF-MF exposure. Comparison of these experimental results with estimated values of the induced electric field (E-field) in the culture medium revealed that the change in synchronized bursting activity occurred over 0.3 V/m, which was equivalent to the findings of a previous study that used the external electric fields. In addition, the results suggested that the potentiation of neuronal activity after 400 mT hPF-MF exposure was related to the depression of autonomous activity of pacemaker-like neurons. Our results indicated that the synchronized bursting activity was increased by hPF-MF exposure (E-field: >0.3 V/m), and the response was due to reduced inhibitory pacemaker-like neuronal activity.

Magnetic conditioning of sulfide minerals to improve recovery of fines in flotation � a plant practice

In flotation practices, as particles become finer, such as smaller than 20 µm, process efficiency declines markedly. Selective agglomeration of fine particles is a technique to enhance the recovery of fine valuable minerals in flotation circuits. Different agglomerating methods have been introduced and tested. One method that has recently received much attention is to make use of magnetic force to aggregate fine particles. A selective aggregation of fine paramagnetic particles, such as sulfide minerals, can be achieved in the high-intensity magnetic field prior to or during flotation. The method is simple, selective and effective for fine particles and has low operational cost, though a minimum magnetic susceptibility for fine grains is required to promote the process. In this paper, the implementation of the ProFlote magnetic conditioning device in Boliden’s Garpenberg old concentrator in Sweden, where a complex massive sulfide ore is treated, is presented and discussed based on Boliden’s Garpenberg plant. The results showed an increase in the flotation recovery of fine valuable minerals. Zinc (Zn) production was increased by between 1,100 and 1,500 t/a, while salable yearly silver (Ag) production was increased by 1,500 kg. The copper (Cu) grade in the final concentrate was increased by 1 percent, while reductions in its Zn and lead (Pb) grades were obtained. Moreover, considerable reduction in Zn deportment to the final tail was observed.

Modeling of segregation in magnetized fluidized bed with binary mixture of Geldart-B magnetizable and nonmagnetizable particles

Abstract For the magnetized fluidized bed (MFB) with the binary mixture of Geldart-B magnetizable and nonmagnetizable particles, the magnetically induced segregation between these two kinds of particles occurs at high magnetic field intensities (H), leading to the deterioration of the fluidization quality. The critical intensity (Hms) above which such segregation commences varies with the gas velocity (Ug). This work focuses on establishing a segregation model to theoretically derive the Hms–Ug relationship. In a magnetic field, the magnetizable particles form agglomerates. The magnetically induced segregation in essence refers to the size segregation of the binary mixture of agglomerates and nonmagnetizable particles. Consequently, the segregation model was established in two steps: first, the size of agglomerates (dA) was calculated by the force balance model; then, the Hms–Ug relationship was obtained by substituting the expression of dA into the basic size segregation model for binary mixtures. As per the force balance model, the cohesive and collision forces were 1–2 orders of magnitude greater than the other forces exerted on the agglomerates. Therefore, the balance between these two forces largely determined dA. The calculated dA increased with increasing H and decreasing Ug, agreeing qualitatively with the experimental observation. The calculated Hms–Ug relationship agreed reasonably with the experimental data, indicating that the present segregation model could predict well the segregation behavior in the MFB with the binary mixture.

The substantiation of the application of the high-intensity pulsed magnetic field for the combined treatment of biliary sludge

The objective of the present study was to evaluate the effectiveness of the application of the high-intensity pulsed magnetic field in the combination with the intake of mineral water (MW) and rational pharmacotherapy as the components of the combined treatment of biliary sludge. The study included 117 patients presenting with biliary sludge (BS) who were randomly allocated to three groups. Group 1 was comprised of 38 patients and served as the control group. These patients received medicamentous therapy (hymecromone - 200 mg 3 times daily during two weeks and ursodeoxycholic acid at a dose of 10-15 mg/kg a day during a period from 3 to 6 months). The second group consisted of 40 patients and served as the group of comparison. The patients of this group received medicamentous therapy in the combination with the intake of 'Sernovodskaya' hydrocarbonate-chloride-sulphate sodium mineral water (from a spring in the Chechen republic). The third group was composed of 39 patients and constituted the main study group. These patients completed a course of therapy with the use of the high-intensity pulsed magnetic field applied to the gall bladder region. Each patient underwent 10 sessions of magnetic therapy after the completion of the treatment with hymecromone and 'Sernovodskaya' mineral water. The treatment was carried out with simultaneous monitoring dynamics of the clinical symptoms of biliary sludge, the ultrasound examination of the abdominal organs with the evaluation of the contractile function of the gall bladder, the level of bilirubin in the cystic bile, bile acids, cholesterol, and cholate-cholesteric coefficient. The combined treatment of the patients suffering from BS including the application of the high-intensity pulsed magnetic field alleviated the clinical symptoms of the disease much faster than medicamentous therapy combined with the intake of 'Sernovodskaya' mineral water. Moreover, it promoted the restoration of the motor activity of the gall bladder and accelerated the evacuation of the hyperechoic particles. The course of the combined treatment of the patients presenting with biliary sludge including the application of the high-intensity pulsed magnetic field in the combination with the intake of mineral water (MW) and rational pharmacotherapy significantly relieved abdominal pains, alleviated the symptoms of biliary dyspepsia, and improved the motor function of the biliary tract. These therapeutic effects persisted as long as 3 months. The results of the present study give evidence of the necessity of prescription of an optimum dose of ursodeoxycholic acid to the patients suffering from biliary sludge.

Real-time detection of stimulus response in cultured neurons by high-intensity intermediate-frequency magnetic field exposure.

Threshold values of neuronal stimulation and modulation associated with exposure to time-varying electromagnetic fields contribute to establishing human protection guidelines and standards. However, biological evidence of threshold values in the intermediate-frequency range is limited. Additionally, although it is known that dendrites, a type of unmyelinated neuronal fibre, play an important role in information processing in the central nervous system, the stimulus threshold in dendrites has not been sufficiently investigated. We evaluated the excitation site-specific stimulus response of rat brain-derived cultured neurons by using a 20 kHz high-intensity intermediate-frequency magnetic field (hIF-MF) exposure system, a non-conductive fibre-optic imaging (NCFI) system, combined with a micro-patterning technique. Our hIF-MF exposure and NCFI system permitted real-time detection of the intracellular calcium ([Ca2+]i) spikes in neuronal cell bodies or unmyelinated neuronal fibres during exposure to a 20 kHz, 70 mT (peak), burst-type sinusoidal wave hIF-MF. Dosimetry of the induced electric fields intensities in the extracellular solution indicated that about 50% of unmyelinated neuronal fibres respond at about 147 V m-1. In contrast, the threshold of the [Ca2+]i spikes in neuronal cell bodies were lower than that in unmyelinated neuronal fibres. Our results provide a basis for understanding site-specific differences in the responses of cultured neurons to hIF-MFs.

Ground Magnetic Survey for the Investigation of Iron Ore Deposit at Oke-Aro in Iseyin East, South-Western Nigeria

A ground magnetic survey was carried out to investigate the presence of iron ore at a location (Lat. 7.99883°N to Lat. 7.99933°N, Long. 3.57900°E to Long. 3.57990°E) in Iseyin, Oyo State, South-western Nigeria. Ten magnetic traverses each 100 m long at a separation of 5 m were run West-East. Magnetic intensity was taken at intervals of 10 m along each traverse line using the proton precession magnetometer (G-856 AX). The measured magnetic field data were corrected for drift and were presented as profiles. The profiles were interpreted by calculating the depth to the top of anomalies. The data obtained were used to construct magnetic anomaly maps in 2D and 3D. The magnetic survey results delineated this location into some high and low magnetic field intensity regions. The regions of high magnetic field anomaly indicated the presence of materials with high susceptibility which was suspected to be iron compounds. The quantitative and qualitative analyses on interpretations of field data collected were given, while these results provided values for the total component measurements of ground magnetic anomaly that widely ranged between a maximum positive peak result of 8 nT and to a minimum negative peak result of —6 nT. Using Peter’s half slope technique, depth to the basement was assessed, which actually provided a maximum depth to basement of 6.25 m. From the knowledge of the geology of the area and also, the magnetic survey employed information, therefore, we can finally conclude that, the study area is under laid by geologic structures which favour the accumulation of iron-ore minerals deposit at Oke-Aro area in Iseyin.

A mathematical modelling on the effect of high intensity magnetic fields on pulsatile blood flow in human arteries

An attempt is made to investigate whether the static magnetic field (SMF) employed in magnetic resonance imaging (MRI) have any adverse effect on the hemodynamic wall parameters in large arteries or not. With the intention of addressing the controversy in the safety issues during MRI exposure, haemodynamics and pathology of large arteries, such as brachial, femoral and pulmonary artery, are compared by varying the intensity of SMF from high to ultrahigh. To be more medically accurate physiological pressure gradient waveforms taken from cardiology literature were digitised and adequate number of harmonics were extracted in order to represent them as Fourier series. All the medically relevant parameters related to endothelial functioning are significantly affected during the time of exposure to ultrahigh intensity SMF, irrespective of the fact whether the artery is closer or away from the heart. In such fields, the fluctuation of Wall Shear Stress (WSS) vector in pulmonary artery is too severe as inferred from oscillatory shear index (OSI) values. The common hypothesis that low WSS and high OSI colocate is not acceptable both in the absence and the presence of magnetic field. It is also inferred that relative residence time can be considered as a single robust metric to predict the pathogenesis of vascular diseases when OSI is moderate. It is felt that more research is necessary, especially to clarify many existing contradictory results in this regard. The controversial reports in the literature of SMF motivated us to mathematically investigate the possible adverse effects of ultrahigh SMFs on pulsatile blood flow in large human arteries and find the maximum intensity of SMF up to which the blood flow and other medically relevant parameters are not significantly affected.

A mathematical modelling on the effect of high intensity magnetic fields on pulsatile blood flow in human arteries

A mathematical modelling on the effect of high intensity magnetic fields on pulsatile blood flow in human arteries

Non-contact and contact measurement system for detecting projectile position in electromagnetic launch bore

This paper introduces a new measurement system for measuring the position of a projectile within a rapid fire electromagnetic launching system. The measurement system contains both non-contact laser shading and metal fiber contact measurement devices. Two projectiles are placed in the rapid fire electromagnetic launch bore, one in the main accelerating segment and the other in the pre-loading segment. The projectile placed in the main accelerating segment should be shot first, and then the other is loaded into the main segment from the pre-loading segment. The main driving current (I-main) can only be discharged again when the second projectile has arrived at the key position (the projectile position corresponds to the discharging time) in the main accelerating segment. So, it is important to be able to detect when the second projectile arrives at the key position in the main accelerating segment. The B-dot probe is the most widely used system for detecting the position of the projectile in the electromagnetic launch bore. However, the B-dot signal is affected by the driving current amplitude and the projectile velocity. There is no current in the main accelerating segment when the second projectile moves into this segment in rapid fire mode, so the B-dot signal for detecting the key position is invalid. Due to the presence of a high-intensity magnetic field, a high current, a high-temperature aluminum attachment, smoke and strong vibrations, it is very difficult to detect the projectile position in the bore accurately. So, other measurements need to be researched and developed in order to achieve high reliability. A measurement system based on a laser (non-contact) and metal fibers (contact) has been designed, and the integrated output signal based on this detector is described in the following paper.

Design of 3-Times Magnetizer and Rotor of Spoke-Type PMSM Considering Post-Assembly Magnetization

Unlike the existing bar-type permanent magnets, it is difficult to magnetize the ferrite spoke-type permanent magnet synchronous motor (PMSM), because the permanent magnet is placed deep inside the shaft. In order to magnetize permanent magnet, a high magnetic field intensity is required. However, the high magnetic field intensity may cause demagnetization of surrounding permanent magnets. It has a bad effect on the magnetization of the permanent magnet and the performance of the spoke-type PMSM. In this paper, we proposed magnetizer models for magnetization of spoke-type 10 pole rotor and the inter-pole winding to reduce the demagnetization of surrounding permanent magnets. Finally, the optimally designed model was manufactured and the performance of the magnetizer was verified.

Effects of high-intensity static magnetic fields on a root-based bioreactor system for space applications

Static magnetic fields created by superconducting magnets have been proposed as an effective solution to protect spacecrafts and planetary stations from cosmic radiations. This shield can deflect high-energy particles exerting injurious effects on living organisms, including plants. In fact, plant systems are becoming increasingly interesting for space adaptation studies, being useful not only as food source but also as sink of bioactive molecules in future bioregenerative life-support systems (BLSS).However, the application of protective magnetic shields would generate inside space habitats residual magnetic fields, of the order of few hundreds milli Tesla, whose effect on plant systems is poorly known. To simulate the exposure conditions of these residual magnetic fields in shielded environment, devices generating high-intensity static magnetic field (SMF) were comparatively evaluated in blind exposure experiments (250 mT, 500 mT and sham -no SMF-). The effects of these SMFs were assayed on tomato cultures (hairy roots) previously engineered to produce anthocyanins, known for their anti-oxidant properties and possibly useful in the setting of BLSS. Hairy roots exposed for periods ranging from 24 h to 11 days were morphometrically analyzed to measure their growth and corresponding molecular changes were assessed by a differential proteomic approach. After disclosing blind exposure protocol, a stringent statistical elaboration revealed the absence of significant differences in the soluble proteome, perfectly matching phenotypic results. These experimental evidences demonstrate that the identified plant system well tolerates the exposure to these magnetic fields.Results hereby described reinforce the notion of using this plant organ culture as a tool in ground-based experiments simulating space and planetary environments, in a perspective of using tomato ‘hairy root’ cultures as bioreactor of ready-to-use bioactive molecules during future long-term space missions.

Compositing orbital angular momentum beams in Bi4Ge3O12 crystal for magnetic field sensing

The polarization states and orbital angular momentum (OAM) properties of light are of considerable importance for several aspects of high-precision optical measurements. In this work, we have investigated the properties of composited OAM beams propagating in a Bi4Ge3O12 crystal under an applied magnetic field and have demonstrated a magnetic field sensing method based on compositing of OAM beams using a Sagnac configuration. The polarization rotation can be projected into petal-like patterns by the rotation of the OAM beams. However, the accurate measurement of the rotation angles of the petal-like patterns of OAM beams remains challenging. Therefore, an image processing technique based on the Radon transform is explored to enable the accurate calculation of the rotation angle of the petal-like patterns of composite OAM beams under different magnetic fields. The rotation angle of these petal-like patterns is found to have a linear dependence on the magnetic field intensity, which means that the proposed system is appropriate for magnetic field sensing applications. Using this method, a magnetic field sensitivity of 28°/T has been achieved experimentally with a measurement error of 0.0123 T in a high-intensity magnetic field ranging from 191 to 3322 G for OAM beams with topological charge (TC) l=±1.

Shielding performance of honeycomb and foam structures in a magnetic field against spatial high-energy electron radiation

Abstract Shielding against spatial high-energy electron radiation is essential to the success of space exploration. Honeycomb and foam systems, combined with a magnetic field, were proposed to shield against spatial high-energy electrons given the immense mass and large amount of secondary X-rays of a passive shield and the demand for a high-intensity magnetic field of an active method. The shielding capabilities of several structures were investigated using the Monte Carlo method. The influences of magnetic flux density and hollow cube size on shielding property were studied by simulating energy deposition in a Chinese male reference phantom. Results showed that the honeycomb and foam systems enhanced the shielding capability against high-energy electrons and reduced the penetration of secondary X-rays. The effective dose in the male phantom decreased with increasing magnetic flux density. The proposed structures exhibited excellent shielding capabilities with a small hollow cube. In addition, the foam structure performed better than the honeycomb structure. Thus, the presented systems may be used for space radiation protection in a high-energy electron environment.

Mutual inductance and magnetic force calculations between thick bitter circular coil of rectangular cross section with inverse radial current and filamentary circular coil with constant azimuthal current

In many engineering applications, the coils of different geometrical shapes are used. Usually, these coils (circular, right etc.) are with the constant currents in different directions. In the literature, there are many papers on the calculations of the magnetic fields of the circular coils with the constant azimuthal currents or the calculations of the mutual inductance and the magnetic force between them. In some applications, where the high intensity magnetic fields are required the circular metal plates and insulating spacers are used with the inverse radial current. Such configurations form an electromagnet named after its inventor Bitter. In this study, the authors calculate the mutual inductance and the magnetic force between the thick Bitter coil of rectangular cross-section with the inverse radial current and the circular filamentary coil with the constant azimuthal current. The semi-analytical and the analytical expressions of these quantities are obtained over complete elliptic integrals of the first and second kind as well as Heuman's lambda function. There is one simple integral which has to be solved numerically. The results of this method are compared by those obtained by the modified filament method for the presented configuration. All results are in an excellent agreement.