11. An aluminum ring of radius r, = 5.00 cm and resistance 3.00 x 10-4 N is placed around one end of a long air- M core solenoid with 1 000 turns per meter and radius r, 3.00 cm as shown in Figure P31.11. Assume the axial component of the field produced by the solenoid is one- half as strong over the area of the end of the solenoid as at the center of the solenoid. Also assume the sole- %3D noid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of 270 A/s. (a) What is the induced current in the ring? At the center of the ring, what are (b) the magnitude and (c) the direction of the magnetic field produced by the induced current in the ring? r2 Figure P31.11 Problems 11 and 12.

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Can you solve problem #11 in the picture below?

11. An aluminum ring of radius r, = 5.00 cm and resistance
M 3.00 X 10-4 N is placed around one end of a long air-
core solenoid with 1 000 turns per meter and radius r,
3.00 cm as shown in Figure P31.11. Assume the axial
component of the field produced by the solenoid is one-
half as strong over the area of the end of the solenoid
as at the center of the solenoid. Also assume the sole-
noid produces negligible field outside its cross-sectional
area. The current in the solenoid is increasing at a rate
of 270 A/s. (a) What is the induced current in the ring?
At the center of the ring, what are (b) the magnitude
and (c) the direction of the magnetic field produced by
the induced current in the ring?
12
Figure P31.11 Problems 11 and 12.
Transcribed Image Text:11. An aluminum ring of radius r, = 5.00 cm and resistance M 3.00 X 10-4 N is placed around one end of a long air- core solenoid with 1 000 turns per meter and radius r, 3.00 cm as shown in Figure P31.11. Assume the axial component of the field produced by the solenoid is one- half as strong over the area of the end of the solenoid as at the center of the solenoid. Also assume the sole- noid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of 270 A/s. (a) What is the induced current in the ring? At the center of the ring, what are (b) the magnitude and (c) the direction of the magnetic field produced by the induced current in the ring? 12 Figure P31.11 Problems 11 and 12.
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