For changing the capacitance of a given paralle plate capacitor, a dielectric material of dielectric constant K is used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is 3 4 d , where d is the separation between the plates of parallel plate capacitor. The new capacitance C ' in terms of original capacitance C 0 is given by the following relation :

Question

For changing the capacitance of a given paralle plate capacitor, a dielectric material of dielectric constant K is used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is 3 4 d , where d is the separation between the plates of parallel plate capacitor. The new capacitance C ' in terms of original capacitance C 0 is given by the following relation :, C ' = 3 + K 4 K C 0, C ' = 4 + K 3 C 0, C ' = 4 K K + 3 C 0, C ' = 4 3 + K C 0

MARKS App · Accepted Answer

C 0 = ϵ 0 A d C ' = C 1 and C 2 in series. i.e. 1 C ' = 1 C 1 + 1 C 2 1 C ' = 3 d / 4 ϵ 0 K A + d / 4 ϵ 0 A 1 C ' = d 4 ϵ 0 A 3 + K K C ' = 4 K C 0 3 + K

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