An aluminum ring of radius 5 cm and resistance 10.0 10-4 (around the circumference of the ring) is placed on top of a long air-core solenoid with 999 turns per meter and radius 4 cm, as in Figure P20.62. Assume that the axial component of the magnetic field at the end of (but inside) the solenoid drops to half its value at the center and drops abruptly to zero outside the solenoid. If the current in the solenoid is increasing at a constant rate of 265 A/s, what is the induced current in the ring? ____ A At what rate is heat generated in the ring? ____ mW Figure P20.62

Principles of Physics: A Calculus-Based Text
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Chapter23: Faraday’s Law And Inductance
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Problem 5OQ: A rectangular conducting loop is placed near a long wire carrying a current I as shown in Figure...
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An aluminum ring of radius 5 cm and resistance 10.0 multiply.gif 10-4 omegacap.gif (around the circumference of the ring) is placed on top of a long air-core solenoid with 999 turns per meter and radius 4 cm, as in Figure P20.62. Assume that the axial component of the magnetic field at the end of (but inside) the solenoid drops to half its value at the center and drops abruptly to zero outside the solenoid.

If the current in the solenoid is increasing at a constant rate of 265 A/s, what is the induced current in the ring?
____ A
At what rate is heat generated in the ring?
____ mW

p20_63.gif
Figure P20.62

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