A circular loop of wire having a radius of 6.49 cm carries a current of 0.286 A.

Question

A circular loop of wire having a radius of 6.49 cm carries a current of 0.286 A. A vector of unit length and parallel to the dipole moment of the loop is given by 0.60 cap i - 0.80 cap j. If the loop is located in a uniform magnetic field given by vector B = (0.680 T) cap i + (0.791 T) cap k, find (a) the x-component, (b) the y-component, and (c) the z- component of the torque on the loop and (d) the magnetic potential energy of the loop. (a) Number Units (b) Number Units (c) Number Units (d) Number Units

Explanation / Answer

torque = mue*B

mue = 0.6i-0.8j

B = 0.68i+0.791k

T = -0.63i-0.47j+0.54k

x comp = -0.63 Nm

y comp = -0.47

z comp = 0.54

potential energy u = -mue.B = -0.408 J

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