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Question
A rectangular coil of length 0.12 m and width 0.1 m having 100 turns of wire is suspended vertically in a uniform magnetic field of strength 0.4 Wb/m2. The coil carries a current of 2.5 A. If the plane of the coil is inclined at an angle of 30° with the direction of the field, the torque required to keep the coil in stable equilibrium will be ____________.
Options
2.12 Nm
0.15 Nm
1.04 Nm
0.24 Nm
Solution
A rectangular coil of length 0.12 m and width 0.1 m having 100 turns of wire is suspended vertically in a uniform magnetic field of strength 0.4 Wb/m2. The coil carries a current of 2.5 A. If the plane of the coil is inclined at an angle of 30° with the direction of the field, the torque required to keep the coil in stable equilibrium will be 1.04 Nm.
Explanation:
`tau ="NAIB sin" theta`
`= 100 xx 0.12 xx 2.5 xx 0.4 xx "sin 60°"`
`= 1.04 "Nm"`