Question

The current through a wire connected to a condenser varies with time as i=(2t+1)a the charge transport to the condenser from t=0 to t=5s

Answer 1

hey mate
here's the solution

Answer 2

Given :

The current through a wire connected to a condenser varies with time as

I=(2t+1) A .

To Find :

The charge transport to the condenser from t=0 to t=5 s .

Solution :

We know , charge is given by :

$Q=\int\limits^5_0 {I} \, dt\\\\Q=\int\limits^5_0 {(2t+1)} \, dt\\\\Q=|t^2+t|_0^5\\\\Q=(5^2+5)-(0+0)\\\\Q=30\ C$

Therefore , the charge transport to the condenser from t=0 to t=5 s is 30 C .

Hence , this is the required solution .

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