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CBSE Class 12-science Answered

<div>Help me to solve the problem..</div> <div><img 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
Asked by nitishkrnehu09 | 18 Nov, 2017, 10:05: PM
Expert Answer
Charge on the capacitor keep on decreasing as per the following equation
 
q = q0 exp { - t/ (RC) }
 
Let us assume at time T the charge is halved in the capacitor.
 
if we substitute q = q0/2 in the above equation we get 2 = exp{T/RC) after simplification.
 
Hence T = RC ln(2)

 


Answered by | 20 Nov, 2017, 02:55: PM

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Asked by h | 05 Dec, 2022, 12:50: AM
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