<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> A high-quality factor magnetoelectric (ME) laminated composite employing a type of ferromagnetic constant-elasticity alloy (FCEA) and piezoelectric Pb(Zr,Ti)O<formula formulatype="inline"><tex Notation="TeX">$_{3}$</tex></formula> material is developed. The laminate is designed to operate as a half-wavelength <formula formulatype="inline"><tex Notation="TeX">$(\lambda/2)$</tex></formula>, longitudinal resonator. The FCEA features high effective quality factor and low magnetomechanical coupling coefficient. This induces a particular ME characteristic. The theoretical analysis shows that the ME voltage coefficient (MEVC) at low frequency is directly proportional to the product of the electromechanical coupling factor in piezoelectric layer, magnetomechanical coupling factor, and the square root of magnetic permeability in FCEA layers. The MEVC at resonance and the ME sensitivity (under resonant drive) to dc bias magnetic field <formula formulatype="inline"> <tex Notation="TeX">$(H_{\rm dc})$</tex></formula> are dramatically increased by the effective quality factor <formula formulatype="inline"><tex Notation="TeX">$(Q_{m})$</tex> </formula> of the resonator. The measured vibrational characteristics reveal that the strain coefficient at resonance achieves 314.74 nm/A and <formula formulatype="inline"><tex Notation="TeX">$Q_{m}$</tex></formula> is <formula formulatype="inline"><tex Notation="TeX">${\sim} 1600$</tex></formula>. The MEVC at resonance <formula formulatype="inline"><tex Notation="TeX">$(\alpha_{r})$</tex> </formula> achieves 30.55 V/Oe (381.875 V/cm Oe), which is 1608 times higher than that at low frequency. In addition, <formula formulatype="inline"><tex Notation="TeX">$\alpha_{r}$</tex></formula> strongly depends on <formula formulatype="inline"> <tex Notation="TeX">$H_{\rm dc}$</tex></formula> due to the high <formula formulatype="inline"><tex Notation="TeX">$Q_{m}$</tex></formula>, e.g., <formula formulatype="inline"><tex Notation="TeX">$\partial \alpha_{r}/\partial H_{\rm dc}$</tex></formula> achieves 0.84 V/Oe<formula formulatype="inline"><tex Notation="TeX">$^{2}$</tex></formula>. The ME resonator is potential for highly sensitive dc or quasi-static magnetic field sensing. </para>
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