A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 1.80 cm and 1.00 × 103 turns/meter (see figure below). The current in the solenoid changes as /= 2.00 sin(120t), where / is in amperes and t is in seconds. Find the induced emf (in volts) in the 15- turn coil as a function of time. (Do not include units in your answer.) E= x How does Faraday's law relate the induced emf to the flux through the coil and the number of turns of wire? What is the magnetic field of a solenoid? Where is it zero and nonzero? How does this affect the calculation of the magnetic flux? Be careful with signs, and with taking the derivative of the function of time. R 15-turn coil www

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A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 1.80 cm and 1.00 × 103 turns/meter (see figure below). The
current in the solenoid changes as /= 2.00 sin(120t), where / is in amperes and t is in seconds. Find the induced emf (in volts) in the 15-
turn coil as a function of time. (Do not include units in your answer.)
E=
x
How does Faraday's law relate the induced emf to the flux through the coil and the number of turns of wire? What is the magnetic field
of a solenoid? Where is it zero and nonzero? How does this affect the calculation of the magnetic flux? Be careful with signs, and with
taking the derivative of the function of time.
R
15-turn coil
www
Transcribed Image Text:A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 1.80 cm and 1.00 × 103 turns/meter (see figure below). The current in the solenoid changes as /= 2.00 sin(120t), where / is in amperes and t is in seconds. Find the induced emf (in volts) in the 15- turn coil as a function of time. (Do not include units in your answer.) E= x How does Faraday's law relate the induced emf to the flux through the coil and the number of turns of wire? What is the magnetic field of a solenoid? Where is it zero and nonzero? How does this affect the calculation of the magnetic flux? Be careful with signs, and with taking the derivative of the function of time. R 15-turn coil www
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