a coil of 100 turns and area (2÷100)m^2 pivoted about a vertical diameter in a uniform magnatic field carries a current of 5A.when the coil is held with its plane in north south direction it experiences a torque 0.3Nm and in east West direction is 0.4Nm. magnatic field is?? (neglect earth mag fld)
Hi
Couple because of attractive field following up on attractive snapshot of the current coil= M X B in
vectors
Couple = M * B * Sin theta
Theta. = point among M and B.
M = I * N*A = 5*10* 0.02 = 1 units
Couple = 0.3 = 1*B*sin theta
Further, wrt East West:
Couple = 0.4 = 1 *B*Cos theta
Figuring out and including we get
B = 0.5 T
Hope it helps