Torque on a solenoid

A cylindrical solenoid of length 10 cm 10 \, \text{cm} and cross-sectional area 9 cm 2 9 \, \text{cm}^2 makes 800 800 turns per meter with a current of 50 mA 50 \, \text{mA} flowing through it. If the solenoid is placed in a magnetic field of magnitude 0.5 mT 0.5 \, \text{mT} such that the long axis of the solenoid is perpendicular to the field, determine the total torque on the solenoid in N m \text{N} \cdot \text{m} .


The answer is 0.0000018.

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