#7

(7%) Problem 7: You are working on a design for an electromagnetic compass. A single circular loop of N wire with an area of A = 2.4 mm is fixed to the face of the compass, and initially lies in a horizontal plane. While active, your circuit is designed to have a countyr-clockwise direct current of I - 4.6 JA running through the loop, as seen from above. The compass is in a gimbal which allows the loop to rotate along any wire loop axis. You are field testing your compass in an area where the earth's magnetic field has a strength of B = 48 HT. W E Randomized Variables A =2.4 mm2 1=4.6 HA B = 48 UIT S theexpertta.com 0 =350 Patel, Simran - simran.patel @doane edu @theexpertta.com - tracking id: 9N69-D3-16-42-9192-40031. In accordance with Expert TA's Terms of Service, copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. 4 20% 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. Grade Summary T = Deductions 0% Potential 100% sin() cos() tan() 7 8 9 HOME Submissions cotan( asin( acos() 4 5 6 Attempts remaining: 1 (100% per attempt) atan() acotan() sinh() 2 3 detailed view coshO tanh() cotanh() + 0 UND Degrees O Radians VO BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 4 20% Part (b) Towards which direction will the top of the compass (which is pointed out of the page) rotate when the current in the loop is on? A 20% Part (c) About which of the following axes will the loop rotate when the current is first turned on in the loop? 4 20% Part (d) Calculate the magnitude of the torque (in Nom) exerted on the loop when the angle between the normal to the current loop and the earth's magnetic field is 0 = 350. 20% Part (e) A torque of t = 6.0 x 10-14 Nom 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