A rectangular loop has a sliding connector PQ of length 2 m and r… - Vidyadip

MCQ

A rectangular loop has a sliding connector $PQ$ of length $2\ m$ and resistance $10\ \Omega $ and it is moving with a speed $5\ m/s$ as shown. The set-up is placed in a uniform magnetic field $3\ T$ going into the plane of the paper. The three currents $I_1$ , $I_2$ and $I$ are

A
$I_1$ = $I_2$ = $3\ A$ , $I$ = $1\ A$
B
$I_1$ = $I_2$ = $5\ A$ , $I$ = $2\ A$
✓
$I_1$ = $I_2$ = $1\ A$ , $I$ = $2\ A$
D
$I_1$ = $I_2$ = $I$ = $2\ A$

✓

Answer

Correct option: C.

$I_1$ = $I_2$ = $1\ A$ , $I$ = $2\ A$

c
$I = \frac{{BVl}}{{15}}$

${I_1} = {I_2} = \frac{I}{2}$

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