A rectangular current-carrying 44-turn coil, as shown below, is pivoted about th

Question

A rectangular current-carrying 44-turn coil, as shown below, is pivoted about the z axis. The magnetic field is j hat/sqrt(2)). i hat/sqrt(2)) + (j hat. (d) Find the torque exerted on the coil when n? is equal to (j hat. (c) Find the torque exerted on the coil when n? is equal to -i hat. (b) Find the torque exerted on the coil when n? is equal to k hat direction. (a) Find the torque exerted on the coil when n? is equal to 26-p-052-alt.gif Note: All answers should end with the units (N ½ m) and will be in the j hat. (Let I = 1.74 A.) B with arrow = 2.3 T

Explanation / Answer

magnetic moment is given by u = NIA n

n - is vector normal to plane of coil.

torque = u x B

a) for n = i

torque = NIA(i) X 2.3j

= 44 x 1.74 x40 x 10-4 x 2.3 (i x j)

= 0.704 k N.m ( along z-axis )

b) n = j

torque = 44 x 1.74 x40 x 10-4 x 2.3 (j x j)

= 0

c) n = -j

torque = 44 x 1.74 x40 x 10-4 x 2.3 (j x -j)

= 0

d) for n = (i + j) / sqrt(2)

torque = 44 x 1.74 x40 x 10-4 x 2.3 ((i + j) / sqrt(2) x j)

= 0.498 k N.m

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