A parallel-plate capacitor has plate area and plate separation

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

Problem

A parallel-plate capacitor has plate area 0.020 m20.020\,\text{m}^2 and plate separation 1.0 mm1.0\,\text{mm}. The space between the plates is completely filled with a material of dielectric constant κ=3.0\kappa=3.0. The capacitor is connected to a 12 V12\,\text{V} battery. What is the magnitude of the charge stored on either plate? (a) 6.4 μC6.4\,\mu\text{C} (b) 2.1 nC2.1\,\text{nC} (c) 6.4 nC6.4\,\text{nC} (d) 0.71 nC0.71\,\text{nC}

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