Question
The power $P$ in a circuit is $P=R i^{2},$ where $R$ is the resistance and $i$ is the current. Find $d P / d t$ at $t=\frac{1}{3}$ if $R=1000 \Omega$ and $i$ varies according to $i=\sin (4 \pi t)($ time in seconds).
Step 1
We are asked to find the derivative of $P$ with respect to time $t$ at $t=\frac{1}{3}$, given that $R=1000 \Omega$ and $i$ varies according to $i=\sin (4 \pi t)$. Show more…
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