A parallel-plate capacitor is completely filled with a dielectric material of constant

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A parallel-plate capacitor is completely filled with a dielectric material of constant κ=2.1\kappa = 2.1. The plates have an area of 25 cm225\,\text{cm}^2 and are separated by 1.0 mm1.0\,\text{mm}. What magnitude of charge must be placed on each plate to produce an electric field of 2.0×104 V m−12.0\times10^{4}\,\text{V\,m}^{-1} between the plates? (a) 4.4×10−10 C4.4\times10^{-10}\,\text{C} (b) 1.9×10−9 C1.9\times10^{-9}\,\text{C} (c) 9.3×10−10 C9.3\times10^{-10}\,\text{C} (d) 2.1×10−10 C2.1\times10^{-10}\,\text{C}

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