Consider a rectangular loop of wire placed in the same plane as a straight wire,

Question

Consider a rectangular loop of wire placed in the same plane as a straight wire, as shown in the diagram below. A current of 2.00A runs through the rectangular loop. The dimensions of the loop are 1m x 0.5m. A current of 8.00A runs through the wire.

Does the loop experience a net force? If so, determine the magnitude and direction of the net force on the loop. If not, expain why not. Show your work and explain your reasoning.

Consider a rectangular loop of wire placed in the same plane as a straight wire, as shown in the diagram below. A current of 2.00A runs through the rectangular loop. The dimensions of the loop are 1m x 0.5m. A current of 8.00A runs through the wire. Does the loop experience a net force? If so, determine the magnitude and direction of the net force on the loop. If not, expain why not. Show your work and explain your reasoning.

Explanation / Answer

here,

magnetic force between two wire is given as

F = u0*I1*I2*l/(2*pi*d)

l is the length of wire for with the force needes to be calaculated

Here ,

the net Force on the loop is

Fnet = Fright - Fleft

Fnet = 4*pi*10^-7*8 * 1 * 2 (1/.05 - 1/.10) *(1/(2*pi))

Fnet = 3.2 *10^-5 N

the net force on the loop is 3.2 *10^-5 N to the right

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