As shown in the figure, a rectangular loop with a length of 20.0 cm and a width
ID: 1546232 • Letter: A
Question
As shown in the figure, a rectangular loop with a length of 20.0 cm and a width w of 15.0 cm has 20 turns and carries a current of 0.13 A counterclockwise around the loop when viewed from the positive x-axis. A horizontal (parallel to the x-z plane) magnetic field of magnitude 0.023 T is oriented at an angle of 65° relative to the perpendicular to the loop (the positive x-axis). (Assume the length and width are measured along the z and y-axes, respectively.) 1. Find the net magnetic force on the loop. (Enter the magnitude only.) Fnet = ?
Explanation / Answer
= 0.2m, W = 0.15 m, N = 20, i = 0.13 A, B = 0.023 T, w = 0.15 m, alfa = 65 degrees, and beta = 25 degrees
a) F_top,x = 0
F_top,y = N*B*i* *sin(25)
= 5.0545*10^-3 N (+y direction)
F_top,z = 0
b)
F_botom,x = 0
F_bottom,y = -N*B*i* *sin(25)
= -5.0545*10^-3 N (negative y direction)
F_bottom,z = 0
c)
F_left = N*B*i*w = 8.97*10^-3 N
F_left,x = -N*B*i*w*sin(65) = -8.13*10^-3 N
F_left,y = 0
F_left,z = N*B*i*w*cos(65) = 3.79*10^-3 N
d)
F_right = N*B*i*w = 8.97*10^-3 N
F_right,x = N*B*i*w*sin(65) = 8.13*10^-3 N
F_right,y = 0
F_right,z = -N*B*i*w*cos(65) = - 3.79*10^-3 N
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