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please label answers for points. thanks in advance 1. A 141-turn circular coil o

ID: 1322567 • Letter: P

Question

please label answers for points. thanks in advance

1. A 141-turn circular coil of radius 2.87 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. During 0.121 s the magnetic field strength increases from 57.3 mT to 95.9 mT. Find the magnitude of the average EMF, in millivolts, that is induced in the coil during this time interval. 2. A 159-turn circular coil of radius 2.39 cm and negligible resistance is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. The coil is connected to a 16.7-ohm resistor to create a closed circuit. During a time interval of 0.155 s the magnetic field strength decreases uniformly from 0.469 T to zero. Find the energy, in millijoules, that is dissipated in the resistor during this time interval. 3. You are designing an apparatus to monitor the breathing of a patient. The apparatus consists of a stretchable loop of conductive material wrapped in a small band around the patient's chest. A constant uniform external magnetic field is produced by a nearby solenoid. As the patient inhales, his chest expands, stretching the chest band. The resulting increase in the area of the loop causes an emf to be induced in the loop. By measuring the induced emf, you can estimate the patient's breathing rate. You want your apparatus to be able to detect a change in area as small as 3.50 cm^2 occuring over a time period of 1.50 s. If the minimum emf that can be reliably detected is 3.00 x 10^-4 V, what is the magnitude of the minimum external magnetic field that would be needed from the solenoid? Due to practical constraints, the largest magnetic field that the solenoid can actually produce is 3.50 x 10^-3 T. You decide to compensate by using multiple loops of the conductive material in series. How many conductive loops should be in the chest band?

Explanation / Answer

1)

Let E = the EMF
Let r = the radius = 2.87