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In the given circuit, the capacitor of c...

In the given circuit, the capacitor of capacitance C is charged by closing key K at t = 0. Find the time required to charge the capacitor up to the maximum charge for the given circuit, if it were to be charged with the charged with constant initial charging rate at `t = 0` in the given circuit.

A

`RC//3`

B

`2RC//5`

C

`2RC//3`

D

`5RC//3`

Text Solution

Verified by Experts

The correct Answer is:
D
d. Initial charging rate = initial current in the line of capacitor = I
`= 2E//5R`. Steady state pd across capacitor is
`V_0 = 2/3 E or q_0 = CV_0 = 2/3 EC`
`t = q_0/i = ((2//3)EC)/(2E//5R) = 5/3 RC`
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