Introduetory Physies-1 PHYS-1112K, Spring-2018 Test 2 rown Name: Note: For full

Question

Introduetory Physies-1 PHYS-1112K, Spring-2018 Test 2 rown Name: 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 1-4.0 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 -750, 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 0.40 T C) 0.50T D) 0.60T E) 0.80T 2. In the operating room, anesthesiologists use mass spectrometers to monitor the respiratory gases of patients undergoing surgery. One gas that is often monitored is the anesthetic isoflurane (molecular mass 3.06 x 10-25 kg). In a spectrometer, a singly ionized molecule of isoflurane (charge q = + e) moves at a speed of v-9.85 x 103 m/s on a circular path of radius r 0.08 m. What is the magnitude of the magnetic field that the spectrometer uses? (+ e = 1.60 × 10-19 C).

Explanation / Answer

1) Torque = I(NA)*B * sin a

84 = 4*60*pi*0.62^2*B * sin 75

B = 0.3 T

so option A) 0.3T is the correct answer

2) mv^2/R = qVB

B = mV / qR

= 3.06*10^-25 * 9850 / (1.6*10^-19*0.08)

= 0.235 T

so the magnitude of magnetic field is 0.235 T

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