A long, straight wire (see the figure below) carries current I 1 = 3.3 A and is

Question

A long, straight wire (see the figure below) carries current I1 = 3.3 A and is a distance h = 15 cm from a rectangular current loop that carries a current I2 = 1.57 A.

(a) If the loop has length L = 50 cm and width w = 19 cm,

what are the magnitude and direction of the force exerted by the wire on the loop?

(b) What is the force exerted by the current loop on the wire?

magnitude     _______ N direction     ________ ---Select One Direction--- toward the long straight wire, away from the long straight wire, to the left, to the right

Explanation / Answer

here,

I1 = 3.3 A

h = 0.15 m

I2 = 1.57 A

(a)

L = 0.5 m

w = 0.19 m

the force exerted , F = u0*I1*I2/( 2*pi*h) - u0*I1*I2/(2*pi*(h+w))

F = 1.26 * 10^-6 * 3.3 * 1.57 / (2*pi) *( 1/0.15 - 1/0.34)

F = 3.87 * 10^-6 N

the force exerted on loop is 3.87 * 10^-6 N
towards the wire

(b)

using Newton's third law

the force exerted on wire is 3.87 * 10^-6 N
towards the loop

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