Two identical parallel-plate capacitors, X and Y

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

Problem

Two identical parallel-plate capacitors, X and Y, have the same plate separation and are both connected to an ideal 12 V battery until they reach steady state. Capacitor X contains only air between its plates (κ≈1\kappa \approx 1), while capacitor Y is completely filled with a dielectric material of constant κ=4\kappa = 4. Which statement correctly compares the electric fields EXE_X and EYE_Y within the regions between the plates? (a) EX>EYE_X > E_Y (b) Both EXE_X and EYE_Y are zero after a long time. (c) EX=EYE_X = E_Y (d) EX<EYE_X < E_Y

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