# 24.34   A parallel-plate capacitor has capacitance C₀ = 8.00 pF when there is air between the plates. The separation between the plates is 1.50 mm.   (a) What is the maximum magnitude of charge Q that can be placed on each plate if the electric field in the region between the plates is not to exceed 3.00 x 10⁴ V/m?   (b) A dielectric with K = 2.70 is inserted between the plates of the capacitor, completely filling the volume between the plates. Now what is the maximum magnitude of charge on each plate if the electric field between the plates is not to exceed 3.00 x 10⁴ V/m?

Question

24.34   A parallel-plate capacitor has capacitance C₀ = 8.00 pF when there is air between the plates. The separation between the plates is 1.50 mm.   (a) What is the maximum magnitude of charge Q that can be placed on each plate if the electric field in the region between the plates is not to exceed 3.00 x 10⁴ V/m?   (b) A dielectric with K = 2.70 is inserted between the plates of the capacitor, completely filling the volume between the plates. Now what is the maximum magnitude of charge on each plate if the electric field between the plates is not to exceed 3.00 x 10⁴ V/m?

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Step 1

a)

Consider the case when air is filled inside the capacitor.

The expression for the charge stored on the capacitor’s plates is,

Step 2

Here, Co is the capacitor’s capacitance when air is filled between the plates and V is the potential between the plates.

The electric field between the capacitor’s plates has a relation with the potential between the plates which is given as,

Step 3

Here, d is the plates’ separation.

Rew...

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