Problem 7: You are working on a design for an electromagnetic compass. N A single circular loop of wire with an area of A = 1. 7 mm is fixed to the face of the compass, and initially lies in a horizontal plane. While active, wire loop your circuit is designed to have a counter-clockwise direct current of I= 4.1 HA running through the loop, as seen from above. The compass is W E in a gimbal which allows the loop to rotate along any axis. You are field testing your compass in an area where the earth's magnetic field has a strength of B = 39 uT. S Ctheexpertta.com Randomized Variables A = 1.7 mm 1 =4.1 HA B = 39 HT 9 =370 Part (a) Calculate the maximum magnitude of the torque, t (in N.m), exerted on the current loop by the earth's magnetic field while current is running through the loop. T = Part (b) Towards which direction will the top of the compass (which is pointed out of the page) rotate (a) when the current in the loop is on? (b) South ( C) The compass will move, but not towards a direction listed here. (d) Wes ( e ) The compass will flip upside-down. (f) North (g) East (h) The compass face will not rotate - it will continue to face up Part (c) About which of the following axes will the loop rotate when the current is first turned on in the loop? The loop will not rotate when current flows. Up-Down East-West North-South The loop will rotate about an axis that is not listed Part (d) Calculate the magnitude of the torque (in N.m) exerted on the loop when the angle between the normal to the current loop and the earth's magnetic field is 0 = 379. Part (e) A torque of t = 6.0 x 10"# N.m is required to produce a large enough motion of the compass to be detected with the unaided eye. To produce this effect, you decide to use multiple loops of wire, but keep all other parameters the same. What is the minimum number of loops required? Nmin =