# Torque on a solenoid

A cylindrical solenoid of length $$10 \, \text{cm}$$ and cross-sectional area $$9 \, \text{cm}^2$$ makes $$800$$ turns per meter with 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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