A long, straight wire (see the figure below) carries current I 1 = 3.1 A and is

Question

A long, straight wire (see the figure below) carries current I1 = 3.1 A and is a distance h = 15 cm from a rectangular current loop that carries a current I2 = 1.52 A.

(a) If the loop has length L = 46 cm and width w = 18 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? A long, straight wire (see the figure below) carries current I1 = 3.1 A and is a distance h = 15 cm from a rectangular current loop that carries a current I2 = 1.52 A. 20-p-077.gif (a) If the loop has length L = 46 cm and width w = 18 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?

Explanation / Answer

a)Force on Top end of loop :

F1 = u*I1*I2*L / 2pi*h

direction will be up

F1 = 2 x 10-7 x 3.1 x 1.52 x 0.46 / 0.15   = 2.89 x 10^-6 N up

Now in lower wire ,

F2 = u*I1*I2*L / 2pi*(h+w)

F = 2 x 10^-7 x3.1 x 1.52 x 0.46 / (0.15 + 0.18)

F2 =1.31 x 10^-6 N down

force on sideways wire will be zero.

Fnet = F1 - F2   ( towards up)

Fnwt = 1.58 x 10^-6 up or towrads staringt wire

b) By the third law of Newton ,

same force straight wire will experience but in opposite direction.

F = 1.58 x 10^-6 N
towards the current loop

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