Suppose you have a square coil and a triangular coil each have sides of length L

Question

Suppose you have a square coil and a triangular coil each have sides of length L. The triangular coil has twice as many turns as the square coil. Suppose that the same current is sent through each coil, when the coils are placed in the same uniform magnetic field making an angle of 30° with the planes of the coils, which coil experiences the greater torque?


Is it:
--both coils experience the same torque, ----depends on the magnitude of the magnetic field that the coils are placed in , -----triangular coil,----- or is it the square coil?


choose correct answer and explain thanks!

Explanation / Answer

Given that sides of the square coil is A = L * L                                                           = L ^2 m^2          Current sent through the coil is I , magnetic field B                        torque of the square coil is t = N iA B cos 30                                                                    = N * L^2 B cos 30         sides of the triangular coil is   is L      Area of the triangular coil is A = 1 /2 * L * L                                                     = L ^2 / 2          number of turns is N = twice as many as the square ofthe turns                      torque experience t = N i A B cos 30                                                      = 2 N * i * L^2 / 2 *B cos 30                                                      = N i L^2 B cos 30      Both coils experience the same torque

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