First slide

Torque on a current carrying loop placed in uniform magnetic field

Question

A uniform magnetic field of 0.3 T is established along the positive Z-direction. A rectangular loop in XY plane of sides 10 cm and 5 cm carries a current of $I = 12 A$ as shown. The torque on the loop is :

Moderate

A

$- 1.8 x 10^{- 2} \hat{j} N m$
B

Zero
C

$- 1.8 x 10^{- 2} \hat{i} N m$
D

$+ 1.8 x 10^{- 2} \hat{i} N m$

Solution

Magnetic moment $\vec{M}$ due to the loop is downward and $θ = 180^{0}$ between $\vec{M}$ & $\vec{B}$
$τ = M B \sin 180^{0} = 0$

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