An induced current is produced when a magnet is moved into a coil. The magnitude of induced current does not depend on: a) the speed with which the magnet is moved b) the number of turns of the coil c) the resistivity of the wire of the coil d) the strength of the magnet
An induced current is produced when a magnet is moved into a coil. The magnitude of induced current does not depend on: a) the speed with which the magnet is moved b) the number of turns of the coil c) the resistivity of the wire of the coil d) the strength of the magnet

Answer:

The correct option is b)

Explanation:

The induced emf is represented by:

e=NAd(B)dt
e=-N A \frac{d(B)}{d t}

Here, $N$ is the number of turns of the coil, $A$ is the area of the coil, and $B$ is the strength of the magnetic field.
$$
\begin{aligned}
&i=\frac{e}{N R} \\
&i=-\frac{N A}{N R} \frac{d(B)}{d t} \\
&i=-\frac{A}{R} \frac{d(B)}{d t}
\end{aligned}
$$
The above expression is independent of the number of turns.