A current carrying wire is in the shape of an equilateral triangle of edge lengt

Question

A current carrying wire is in the shape of an equilateral triangle of edge length 6 cm. The triangle lies in the z = 0 plane. The wire carries a current of 2.4 A. What is the magnitude of the torque on the wire If It is in a region with a uniform magnetic field of magnitude 0.26 T that points in the +z direction? 0 N middot m What is the magnitude of the torque on the wire if it is in a region with a uniform magnetic field of magnitude 0.26 T that points in the +x direction? 0.0006149 N middot m

Explanation / Answer

magnetic moment = I A

= (2.4) (sqrt(3) 0.06^2 / 4) k

= 3.74 x 10^-3 k

(1) B = 0.26 k

torque = u x B

= 0

(2) B = 0.26 i

torque = (3.74 x 10^-3)k x 0.26i

= 9.73 x 10^-4 j

magnitude =9.73 x 10^-4 N m

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