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Question: In a parallel plate condenser, the radius of each circular plate is 12 cm and the distance between t...

In a parallel plate condenser, the radius of each circular plate is 12 cm and the distance between the plates is12 cm with dielectric constant 6 between its plates. The capacity of the condenser will be

A

B

C

D

1.44μF1.44 \mu F

Answer

Explanation

Solution

C=ε0Ad−t+tK=14π×9×109⋅π(0.12)2(2+12)10−3C = \frac { \varepsilon _ { 0 } A } { d - t + \frac { t } { K } } = \frac { 1 } { 4 \pi \times 9 \times 10 ^ { 9 } } \cdot \frac { \pi ( 0.12 ) ^ { 2 } } { \left( 2 + \frac { 1 } { 2 } \right) 10 ^ { - 3 } }

=2×144×10−1036×5=160pF= \frac { 2 \times 144 \times 10 ^ { - 10 } } { 36 \times 5 } = 160 \mathrm { pF }