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 $3T$ going into the plane of the paper. The three currents $I_1$ , $I_2$ and $I$ are

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

✓

Answer

Correct option: C.

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

c
$I=\frac{B V \ell}{15}$

$I_{1}=I_{2}=\frac{I}{2}$

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