Problem: A vacuum-insulated parallel-plate capacitor with plate separation d has capacitance C0.What is the capacitance if an insulator with dielectric constant κ and thickness d/2 is slipped between the electrodes? Assume plate separation is unchanged.Express your answer in terms of the variables d, C0, and κ.C = ?

FREE Expert Solution

Equivalent capacitance for capacitors:

1Ceq=1C1+1C2

The capacitance of a parallel plate capacitor:

C=ε0kAd

For a vacuum, k = 1. For other materials, it is greater than 1.

Before inserting a dielectric, the capacitance of the capacitor is 

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Problem Details

A vacuum-insulated parallel-plate capacitor with plate separation d has capacitance C0.

What is the capacitance if an insulator with dielectric constant κ and thickness d/2 is slipped between the electrodes? Assume plate separation is unchanged.

Express your answer in terms of the variables d, C0, and κ.
C = ?

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