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A parallel plate capacitor has a dielect...

A parallel plate capacitor has a dielectric slab of dielectric constant K between its plates that covers `1//3` of the area of its plates, as shown in the figure. The total capacitance of the capacitor is C while that of the portion with dielectric in between is `C_(1)`. When the capacitor is charged, the plate area covered by the dielectric gets charge `Q_1` and the rest of the area gets charge `Q_(2)`. The electric field in the dielectric is `E_(1)` that in the other portion is `E_(2)`. Choose the correct option/options, ignoring edge effects.

A

`(E_(1))/(E_(2))=1`

B

`(E_(1))/(E_(2))=(1)/(K)`

C

`(Q_(1))/(Q_(2))=(3)/(K)`

D

`(C)/(C_(1))=(2+K)/(K)`

Text Solution

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The correct Answer is:
A, D
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A parallel plate capacitor has a dielectric slab of dielectric constant K between its plates that covers 1//3 of the area of its plates, as shown in the figure. The total capacitance of the capacitor is C while that of the portion with dielectric in between is C_1 . When the capacitor is charged, the plate area covered by the dielectric gets charge Q_1 and the rest of the area gets charge Q_2 . The electric field in the dielectric is E_1 and that in the other portion is E_2 . Choose the correct option/options, ignoring edge effects.

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