An electric current i_1 can flow either direction through loop (1… - Vidyadip

MCQ

An electric current $i_1$ can flow either direction through loop $(1)$ and induced current $i_2$ in loop $(2)$. Positive $i_1$ is when current is from $'a'$ to $'b'$ in loop $(1)$ and positive $i_2$ is when the current is from $'c'$ to $'d'$ in loop $(2)$ In an experiment, the graph of $i_2$ against time $'t'$ is as shown below Which one $(s)$ of the following graphs could have caused $i_2$ to behave as give above.

A
B
C
✓

✓

Answer

Correct option: D.

d
$\phi_{2}=M i_{1} \Rightarrow i_{2}=\frac{1}{R}\left(-\frac{d \phi_{2}}{d t}\right)$

$i_{2}=-\frac{M}{R} \frac{d I_{1}}{d t}$

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