Question

A long, straight wire (see the figure below) carries current 114.2 A and is a distance h 15 cm from a rectangular current loop that carries a current I2 1.58 A (a) If the loop has length L = 40 cm and width w = 28 cm, what are the magnitude and direction of the force exerted by the wire on the loop? magnitude 4.19e-6 direction toward the long straight wire (b) What is the force exerted by the current loop on the wire? magnitude 4.19e-6 direction toward the current loop , XN

Answer 1

The Expression for force between two parall el currentcarrying conductors are 27Tr If curents are in same direction, there is an attractive force in between conductors ,If curents are in opposite direction, there is an replusive force in between conductors.As shown from the dagram, the top loop attracted by the long wire,the attractive force is, 2T h (4Tx10 Hm)42)58 A)40m - 3.539 x10 N 0.15m As shown from the dagram, the bottom loop repelled by the long wire The repulsive force is, (47x10" H/m) (4.2A) (1.58 A) 27 (0.15m+0.28m) 0.40m -1.234x106 N Net force is, -3.539x 106 N-1.234x10-6 N 2.31x10-* N[direction is towords the wire .) (b)The force exerted by loop on the wire is al so equal to net force F 2.31x10* N(direction is towords the loop.)