A parallel-plate capacitor consists of two circular plates separated by 5 mm with dielectric constant 2.2 between them. When the electric field in the dielectric is 3×10⁴ V/m, the positive-plate charge density is closest to:
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Question

A parallel-plate capacitor consists of two circular plates separated by 5 mm with dielectric constant 2.2 between them. When the electric field in the dielectric is 3×10⁴ V/m, the positive-plate charge density is closest to:

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G1 Physics · Accepted Answer

Use Q = CV, U = ½CV² and C = εA/d; reduce the capacitor network by series/parallel combination and apply charge conservation where a node is isolated. The result matches A (6 × 10⁻⁷ C/m²).