Question

re plane as shown in ular eol w sides of ength t 30 cm ad wd w-30 cm is placd in the s a currenti-20 A. s in the oresence of magnetic dennity 7 Ca0 ptsJA 20 tunn the cet whirh -2x10 (R-92) (Tesla) Determine the terque acting on the col At what angle & is tthe ton aero? At what angle e is the torque maximum? Determine its value 20m cose +y sin Hint n

Answer 1

B = 2 times 106 - 12 (x + 2 y) (T) I = 10 A The magnetic field in direction of (x + y2), which make angle phi_0 = tan^- 1 (2/1) = 63.43 degree The magnetic momentum of loop = m = n N/A m = n times 20 times 10 k (30 times 10) times 10^- 4 = n^4 6 Am^2 n = surface normal n = x cos phi y sin phi Torque action on rad = T = m alpha B = (x cos phi + y sin phi)6 times 2 times 10^- 2 (x + y z) T = z 0.12 (2 cos phi - sin phi) (N - m) \r\n Torque is zero (T = 0), when 2 cos phi - sin phi = 0 (or) phi = 63.43 degree (or) - 116.57 degree tan phi = 2