A long solenoid has 700 turns per meter, a length of 1 meter, and a diameter of 2 cm. The current in its windings is increasing at 50 A/s. A thin wire loop with a diameter of 3 cm surrounds the solenoid, as shown in the diagram below. A galvanometer measures the voltage in the thin loop. (a) Find the magnitude of the induced emf in the wire loop outside the solenoid. (b) Find the magnitude of the induced electric field within the wire loop. (c) Calculate the self-inductance, L, of the solenoid. 1, dl dt Galvanometer Wire loop Solenoid dl dr Blue cylinder shows region with magnetic field B.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
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Chapter31: Inductance
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A long solenoid has 700 turns per meter, a length of 1 meter, and a diameter of 2 cm. The
current in its windings is increasing at 50 A/s. A thin wire loop with a diameter of 3 cm
surrounds the solenoid, as shown in the diagram below. A galvanometer measures the voltage in
the thin loop.
(a) Find the magnitude of the induced emf in the wire loop outside the solenoid.
(b) Find the magnitude of the induced electric field within the wire loop.
(c) Calculate the self-inductance, L, of the solenoid.
Galvanometer
Wire loop
G
Solenoid
dl
dt
A
Blue cylinder shows region
with magnetic field B.
Transcribed Image Text:A long solenoid has 700 turns per meter, a length of 1 meter, and a diameter of 2 cm. The current in its windings is increasing at 50 A/s. A thin wire loop with a diameter of 3 cm surrounds the solenoid, as shown in the diagram below. A galvanometer measures the voltage in the thin loop. (a) Find the magnitude of the induced emf in the wire loop outside the solenoid. (b) Find the magnitude of the induced electric field within the wire loop. (c) Calculate the self-inductance, L, of the solenoid. Galvanometer Wire loop G Solenoid dl dt A Blue cylinder shows region with magnetic field B.
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