Electrostatics

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4 of 311

Question 4 of 311

A parallel plate capacitor with plate separation dd has capacitance C0C_0. A dielectric slab (K=4K=4, thickness t=d/2t=d/2) is placed inside. The new capacitance is:

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Answer: (B) 1.6C01.6 C_0

C=ε0Ad−t+t/K=ε0Ad−d/2+d/8=ε0A5d/8=85C0=1.6C0C = \frac{\varepsilon_0 A}{d - t + t/K} = \frac{\varepsilon_0 A}{d - d/2 + d/8} = \frac{\varepsilon_0 A}{5d/8} = \frac{8}{5} C_0 = 1.6 C_0.

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