Capacitor X has plate area

PHYSICS · Single correct · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Capacitor X has plate area AA, plate separation dd, and is filled with air. Capacitor Y has plate area 2A2A, plate separation 2d2d, and is completely filled with a dielectric whose constant is κ=2\kappa=2. Which of the following correctly compares the capacitances of the two capacitors? (a) Capacitor Y has the same capacitance as capacitor X. (b) Capacitor Y has four times the capacitance of capacitor X. (c) Capacitor Y has half the capacitance of capacitor X. (d) Capacitor Y has twice the capacitance of capacitor X.

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