A magnet of magnetic moment 50 hat i A - m 2 is placed along the x -axis in a magnetic field vecB=(0.5 hati+3.0 hatj) T. The torque acting on the magnet is:

Question

A magnet of magnetic moment 50 hat i A - m 2 is placed along the x -axis in a magnetic field vecB=(0.5 hati+3.0 hatj) T. The torque acting on the magnet is: (A) 175 hat k N - m (B) 150 hat k N - m (C) 75 hat k N - m (D) 25 √37 hat k N - m

Tardigrade Admin · Accepted Answer

vecτ= vec M × vec B =50 hat i ×(0.5 hat i +3 hat j ) =150( hat i × hat j )=150 hat k N - m

Q. A magnet of magnetic moment $50 \hat{i} A - m^{2}$ is placed along the $x$ -axis in a magnetic field $B = (0.5 \hat{i} + 3.0 \hat{j}) T$ . The torque acting on the magnet is:

$175 \hat{k} N - m$

$150 \hat{k} N - m$

$75 \hat{k} N - m$

$2537 \hat{k} N - m$

$τ = M \times B$
$= 50 \hat{i} \times (0.5 \hat{i} + 3 \hat{j})$
$= 150 (\hat{i} \times \hat{j}) = 150 \hat{k} N - m$

Q. A magnet of magnetic moment 50i^A−m2 is placed along the x -axis in a magnetic field B=(0.5i^+3.0j^​)T. The torque acting on the magnet is:

175k^N−m

150k^N−m

75k^N−m

2537​k^N−m