A parallel-plate capacitor of plate area and separation is completely filled with a…

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

A parallel-plate capacitor of plate area 0.04 m20.04\,\text{m}^2 and separation 2 mm2\,\text{mm} is completely filled with a dielectric of relative permittivity κ=4\kappa = 4 and connected to a 100 V100\,\text{V} battery. The magnitude of the bound surface charge that appears on each face of the dielectric is closest to (a) 18 nC18\,\text{nC} (b) 106 nC106\,\text{nC} (c) 53 nC53\,\text{nC} (d) 71 nC71\,\text{nC}

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