Abstract
A pair of LC circuits has been used to demonstrate the resonance condition of electromagnetic waves. The first circuit comprises of an inductor, a capacitor and a power supply; while the second pair employs an inductor, a variable capacitor and a neon bulb. The same inductance is applied in both circuits. The variable capacitor is a parallel plate capacitor. By varying the capacitance in the second circuit, we achieve the resonance condition as indicated by the lit neon bulb. By doing so, we observe the equal oscillation frequency in both, the first and second circuit. The condition is then used to obtain the permittivity of air to be (6.1±0.2) x10-11 F/m.
Highlights
Permittivity of free space is widely known as one of the universal physical constants
Riaz and Kanwal used an LCR meter to determine the capacitance of an acrylic filled plate capacitor, and Munguía and Madonaldo used a professional capacitance meter to measure the dielectric constant of the overheated edible oil [1, 2]
In this paper we show the measurement of capacitance of the parallel plate capacitor based on the transmission of electromagnetic wave
Summary
Permittivity of free space is widely known as one of the universal physical constants. Mohsen-Nia et al measured both input voltage and the voltage on the capacitor of a RC circuit [4] By comparing these voltages they were able to determine the dielectric constant of water, ethanol, methanol, butanol and acetone. Nogi et al measured the voltage across a resistor in the RC circuit to obtain the dielectric constant of the material inserted in a parallel plate capacitor, e.g. Soda-lime glass, Bakelite, acrylic glass, and Teflon [5]. Another setup used an LC circuit to determine the dielectric constant of gases by measuring its resonance frequency [6].
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