(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The current through a 100 microfarad is i(t) = 50 sin(120*pi*t) mA

Calculate the voltage across it at t = 1 ms. Consider zero initial voltage.

2. Relevant equations

v(t) = (1/c) integral of i(t) from t = 0 to t = t

3. The attempt at a solution

Am getting v(t) = - 1.326 ( cos(120*pi*t) - 1 ) V

which gives v(1*10^-3) = -2.87 * 10^(-5) V

But book is saying the voltage should be 93.14 mV

Can any confirm if book answer is correct?

I did the problem like 100 times, and still same value. I considered that given current in mA so I multiplied by 10^-3, and considered the 10^-6 from micro farad. integral of sin(120*p*t) is -cos(120*pi*t) / (120*pi)

I have no idea where is my mistake.

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# Homework Help: Wrong value for the voltage across a capacitor

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