Introductory Physies-II PHYS-1112K, Spring-2018 Test # 2 Note: For full credit y

Question

Introductory Physies-II PHYS-1112K, Spring-2018 Test # 2 Note: For full credit you must show all the steps of your answers. Answer the first five questions, and either question six or seven. Chapter-21. Magnetic Forces and Magnetic Fields 1. A circular loop of wire with N 60 turns and of radius r - 0.62 m carries a constant current of I 4.0 A. The loop may be rotated about an axis that passes through the center and lies in the plane of the loop. When the orientation of the normal to the loop with respect to the direction of the magnetic field is 75, the torque on the coil is -84 N. m. What is the magnitude of the uniform magnetic field B exerting this torque on the loop? A) 0.30 T B) 0.40T C) 0.50T D) 0.60 T E) 0.80 T 2. In the operating room, anesthesiologists use mass spectrometers to monitor the resniratont of patients undergoing surgery O

Explanation / Answer

Torque acting on the loop is T = B*i*A*N*sin(phi)

given that phi = 75 deg

i = 4 A

N = 60 turns

T = 84 N-m

A = pi*r^2 = 3.142*0.62^2 = 1.21 m^2

then

T = B*i*A*N*sin(75)

84 = B*4*1.21*60*sin(75)

magnetic field is B = 84/(4*1.21*60*sin(75)) = 0.30 T

so correct option is A) 0.3 T

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