The coil in the figure carries current i = 1.58 A in the direction indicated, is parallel to an xz plane, has 4 turns and an area of 4.75
m = magnetic moment vector = i*Area * k = 1.58*4.75*10^-3 =
7.5*10^-3 *k
B = magnetic filed = (1.86i - 3.79j - 3.36k) *10^-3 T
a) magnetic potentail energy = - m. B
= - ( 7.5*10^-3 *k ) * (1.86i - 3.79j - 3.36k)
*10^-3
=7.5*10^-3 * 3.36*10^-3
= 25.2 *10^-6
b) Torque = m x B
= ( 7.5*10^-3 *k ) x (1.86i - 3.79j - 3.36k)
*10^-3
= 7.5*10^-3 ( 1.86 j +3.79 i)
= (13.95 j + 28.42 i ) *10^-6
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