Two identical isolated parallel-plate capacitors initially hold the same charge at…

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

Two identical isolated parallel-plate capacitors initially hold the same charge QQ at potential difference V0V_0 while filled with dielectric slabs. Capacitor X contains a slab with dielectric constant κ1=2\kappa_1=2, and capacitor Y contains a slab with dielectric constant κ2=4\kappa_2=4. In separate experiments, each dielectric is slowly and completely removed. What is the ratio WY/WXW_Y/W_X of the external work required to remove the dielectric from capacitor Y to that required for capacitor X? (a) 11 (b) 33 (c) 32\dfrac{3}{2} (d) 22

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