Question

a parallel plate condenser of capacity 1nF is connected to a battery of emf 2v through a resistance of 1M ohm.The displacement current after 10‐³sec in uA is​

Answer 1

➭ Question :-

$⟶$a parallel plate condenser of capacity 1nF is connected to a battery of emf 2v through a resistance of 1M ohm.The displacement current after 10‐³sec in uA is

➭ Gíven :-

$⟶$a parallel plate condenser of capacity 1nF is connected to a battery of emf 2v through a resistance of 1M ohm

➭ To find :-

$⟶$The displacement current after 10-³ sec in uA is

➭ Solution :-

$i = \frac{dq}{dt} = \frac{v}{r} {e}^{ \frac{ - 1}{rc} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ ⟹ \frac{2}{1 \times {10}^{6} } e \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ ⟹ \frac{2}{ {10}^{ 6} } {e}^{ - 1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ ⟹ \frac{2}{ {10}^{6} } \times 0.3678 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ ⟹ 0.7357 \times {10}^{ - 3} \times {10}^{ - 6} \\ \\ ⟹ 0.7357\pi A \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hence, the displacement current after 10-³sec in uA is 0.7357πA