Question 160: Electromagnetic Induction

Question

The magnetic flux $$\phi$$ (in weber) linked with a closed circuit of resistance $$8 \Omega$$ varies with time (in seconds) as $$\phi=5 t^2-36 t+1$$. The induced current in the circuit at $$t=2 \mathrm{~s}$$ is __________ A.

Accepted Answer

$$\begin{aligned}
& \varepsilon=-\left(\frac{\mathrm{d} \phi}{\mathrm{dt}}ight)=10 \mathrm{t}-36 \
& 	ext { at } \mathrm{t}=2, \varepsilon=16 \mathrm{~V} \
& \mathrm{i}=\frac{\varepsilon}{\mathrm{R}}=\frac{16}{8}=2 \mathrm{~A}
\end{aligned}$$

Electromagnetic Induction

The magnetic flux $\phi (in weber) linked with a closed circuit of resistance 8 \Omega varies with time (in seconds) as \phi=5 t^2-36 t+1. The induced current in the circuit at t=2 \mathrm{~s}$ is __________ A.

Choose the correct answer: