7: You are working on a design for an electromagnetic compass. A single circular loop of wire with an area of A = 7.8 mm? is fixed to the face of the compass, and initially lies in a horizontal plane. While active, vour circuit is designed to have a counter-clockwize direct current of 7= 4.7 uA running through the loop, as seen from above. The compass 1s 1n a gimbal which allows the loop to retate along any axis. You are field testing your compass in an area where the earth's magnetic field has a strength of 5= 57 uT. Randomized Variables [ @& 20% Part (a) Caleulate the maximum magnitude of the torque, 1 (in N-m), exerted on the corrent loop by the earth's magnetic field while current is running through the loop. d 20% Part (b) Towards which direction will the top of the compass (which 15 pointed out of the page) rotate when the current in the loop 1= on? Grade Summary () East : - - - Deductions 0% ) The compass will flip upside-down. Potential 100% (O The compass face will not rotate - it will continue to face up North Submissions Attempts remaining: 1 T (L00% per attempt) ) West detailed view O South () The compass will move, but not towards a direction listed here. Submit Hint Hints: 0% deduction per hint Hints remaining: 3 Feedback: 1%0 deduction per feedback. = fiy 20% Part (c) About which of the following axes will the loop rotate when the current 1s first turned on in the loop? 2 fiy 20% 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 = 35.