A rectangular current loop is located near a long, straight wire that carries a

Question

A rectangular current loop is located near a long, straight wire that carries a current of 8 A flowing to the right (see the figure). The current in the loop I_ksp = 30 A is flowing clockwise. 14. The net force on the loop is: A) Up B) Down C) Left D) Right E) Into the page 15. The magnitude of the net force on the entire loop is A) 0 N B) 4.5 times 10^-5 N C) 6.3 times 10^-5 N D) 8.4 times 10^-5 N E) 12.6 times 10^-5 N 16. Two positive charges are sitting in the x, y plane. A 10 nC charge is located at point (1, 1), a 5 muC charge is located at (3, 4). What is the magnitude ot the force on the 10 nC due to the 5muC charge? (All distances are in meters) A) 1.8 times 10^-5N B) 3.2 times 10^-5 N C) 6.3 times 10^-5 N D) 8.4 times 10^-5 N E) 12.6 times 10^-5 N

Explanation / Answer

The force per unit length on the top wire of the loop is:

F/L = BI' = µoI/2d * I' = [(4x10^-7)8 / 2(0.10)]30 = 4.8x10^-4 N/m, attractive (+)

The force per unit length on the bottom wire of the loop is:

F'/L = B'I' = [(4x10^-7)8 / 2(0.10+ 0.10)]30 = 2.4x10^-4 N/m, repulsive (-)

The sides of the loop perpendicular to the wire do not interact.

The net force per-unit length on the loop is:

Fnet/L = F/L + F'/L = 4.8x10^-4 - 2.4x10^-4 = 2.4x10^-4 N/m

Since the horizontal parts of the loop have length L = 0.35 m

The net force on the loop is:

Fnet = (2.4x10^-4)(0.35) = 8.4x10^-5N attractive. Hence,

14) the net force on the loop is 'Up'

15) the magnitude of the net force on the loop is 8.4x10^-5N.

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