Question 257: Electromagnetic Induction

Question

The magnetic flux through a coil of resistance ' $R$ ' changes by an amount ' $\Delta \phi$ ' in time ' $\Delta t$ '. The amount of induced current and induced charge in the coil are respectively

Accepted Answer

According to Faraday's law of electromagnetic induction,
$$\begin{aligned}
& |e|=\frac{\Delta \phi}{\Delta t} \
& I R=\frac{\Delta \phi}{\Delta t} \
& I=\left(\frac{\Delta \phi}{\Delta t}ight) \frac{1}{R}
\end{aligned}$$
$	herefore \quad$ The total quantity of electric charge passing through the circuit is
$$\begin{aligned}
\mathrm{Q} & =\mathrm{I} 	imes \Delta \mathrm{t} \
& =\frac{\Delta \phi}{\mathrm{R}}
\end{aligned}$$

Answer

$\left(\frac{\Delta \phi}{\Delta t}\right) R$ and $\frac{R}{\Delta \phi}$

Answer

$\frac{\Delta \phi}{\mathrm{R}}$ and $\mathrm{R}\left(\frac{\Delta \mathrm{t}}{\Delta \phi}\right)$

Answer

$\frac{\Delta \phi}{\mathrm{R}}+\mathrm{R}$ and $\frac{\Delta \phi}{\Delta \mathrm{t}}$

Answer

$\left(\frac{\Delta \phi}{\Delta \mathrm{t}}ight) 	imes \frac{1}{\mathrm{R}}$ and $\frac{\Delta \phi}{\mathrm{R}}$

Electromagnetic Induction

The magnetic flux through a coil of resistance ' R ' changes by an amount ' \Delta \phi ' in time ' \Delta t '. The amount of induced current and induced charge in the coil are respectively

Choose the correct answer: