Question

An oddly shaped solenoid has a triangular cross-section instead of the usual circular one. This solenoid includes N=30 windings of a current-carrying wire and the sides of the equilateral triangular cross-section has a length of 30 mm. You can assume that the diameter of the wire is negligible. This solenoid is exposed to a uniform external field of |B| = 4 teslas. This B field is sometimes perpendicular to the cross-section of the solenoid and sometimes parallel to it. This means that the solenoid will experience a torque. When the B field is slightly off being parallel to the plane of the solenoid (with an angle of 10 degrees), the torque is measured to be 70 Nm. Determine the current flowing in this solenoid.

          An oddly shaped solenoid has a triangular cross-section instead of the usual circular one. This solenoid includes N=30 windings of a current-carrying wire and the sides of the equilateral triangular cross-section has a length of 30 mm. You can assume that the diameter of the wire is negligible. This solenoid is exposed to a uniform external field of |B| = 4 teslas. This B field is sometimes perpendicular to the cross-section of the solenoid and sometimes parallel to it. This means that the solenoid will experience a torque. When the B field is slightly off being parallel to the plane of the solenoid (with an angle of 10 degrees), the torque is measured to be 70 Nm. Determine the current flowing in this solenoid.

An oddly shaped solenoid has a triangular cross-section instead of the usual circular one. This solenoid includes N=30 windings of a current-carrying wire and the sides of the equilateral triangular cross-section has a length of 30 mm. You can assume that the diameter of the wire is negligible. This solenoid is exposed to a uniform external field of |B| = 4 teslas. This B field is sometimes perpendicular to the cross-section of the solenoid and sometimes parallel to it. This means that the solenoid will experience a torque. When the B field is slightly off being parallel to the plane of the solenoid (with an angle of 10 degrees), the torque is measured to be 70 Nm. Determine the current flowing in this solenoid.

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