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Q.

A larger parallel plate capacitor, whose plates have an area of 1 m2 are separated from each other by 1 mm. The space between the plates is completely filled by a slab of  dielectric constant 10. The potential difference between the plates of the capacitor is increasing at a rate of 25 volt/s. Then the displacement current at this instant is

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a

25 μA

b

11 μA

c

2.2 μA

d

1.1 μA

answer is C.

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Detailed Solution

C=ε0KAd=8.85×10−12×10×110−3=8.85×10−8Fi=ddt(CV)=CdVdt=8.85×10−8×25=2.2×10−6A                                                                 =2.2μA
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A larger parallel plate capacitor, whose plates have an area of 1 m2 are separated from each other by 1 mm. The space between the plates is completely filled by a slab of  dielectric constant 10. The potential difference between the plates of the capacitor is increasing at a rate of 25 volt/s. Then the displacement current at this instant is