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please show both Chapter-21. Magnetic Forces and Magnetic Fields I. A circular l

ID: 2030084 • Letter: P

Question

please show both

Chapter-21. Magnetic Forces and Magnetic Fields I. A circular loop of wire with N-60 turns and of radius - 0.62 m carries 1-4.0 A The loop may be rotated about an axis that posses through th" center unvS plane of the loop. w'hen the orientation of the normal to the loop with respect us direc- the magnetic field is ÷ 750, the torque on the coil is -84 N. m what wsthn magrituleof0m uniform magnetic field B exerting this torque on the loop? A) 0.30T B) 0.40 T C) 0.50 T D) 0.60 T ) 0.30T 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 isolurane (molecular mass 3. 06 x 1025 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 T-O0S m. What is the magnitude of the magnetic field that the spectrometer uses? te 1.60 x 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