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Question

Two thin dielectric slabs of dielectric constants K1 and K2(K1<K2) are inserted between plates of a parallel plate capacitor, as shown in figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by


A
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B
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C
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D
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Solution

The correct option is C
Let the electric field due to applied external source (battery) between the parallel plates of capacitor, be E0.

After insertion of dielectric the electric field in the material of dielectric slab) present inside capacitor,

E=E0K ....(i)

From, the given arrangement we infer that there are three regions in which dielectric material is not present.

Hence in these regions,
E=E0

Given: K2>K1
Therefore in the two region which contains dielectric slabs,

E1=E0K1=constant

E2=E0K2=constant

E2<E1<E0

Thus following graph is best representation of E vs d.


Hence, option (c) is the correct answer.

Why this question?Tip: In such problems alway remember that "the region with no dielectric will contain the sameelectric which is produced by source Howeverthe region with dielectric will undergoreduction in Evalue by k times"

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