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Q.

A parallel-plate capacitor is formed by two plates, each of area 100 cm2  separated by a distance of 1 mm. A dielectric of dielectric constant 5.0 and dielectric strength 1.9×107Vm1 is filled between the plates. Find the maximum charge that can be stored on the capacitor without causing any dielectric breakdown.

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a

8.4×106C

b

9×106C

c

11×106C

d

10 C

answer is A.

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Detailed Solution

If Q be the charge on the capacitor, the surface charge density is σ=Q/A 

and the electric field is QKAε0 . 

This should not exceed the dielectric strength 1.9×107Vm1

Thus, the maximum charge is given by  QKAε0=1.9×107Vm1
Or, Q=KAε0×1.9×107Vm1
=(5.0)102m28.85×1012Fm1×1.9×107Vm1=8.4×106C
 . 
 

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