Torque on a solenoid

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

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