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A solenoid has a radius of 4.00 cm and a length of 50.0 cm. The number density of the windings is 300 loops per meter. A current of 0.575 A flows through the solenoid. (a) What is the strength of the magnetic field inside the solenoid? (b) What is the strength of the magnetic field outside the solenoid, at a distance of 5.00 m from its center? (c) What is the strength of the magnetic field inside the solenoid if its radius is increased to 8.00 cm, and all the other quantities have the same value as before?

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Casey Durgan
Casey DurganLv2
16 Jul 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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An electromagnetic wave has an magnetic field strength of 6.78×10−6T at a point P in space at time t.
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A 300-turn solenoid with a length of 20.0 cm and a radius of 1.50 cm carries a current of 2.00 A. A second coil of four turns is wrapped tightly around this solenoid, so it can be considered to have the same radius as the solenoid. The current in the 300-turn solenoid increases steadily to 5.00 A in 0.900 s. (a) Use Ampere’s law to calculate the initial magnetic field in the middle of the 300-turn solenoid. (b) Calculate the magnetic field of the 300 turn solenoid after 0.900 s. (c) Calculate the area of the 4-turn coil. (d) Calculate the change in the magnetic flux through the 4-turn
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A 300-turn solenoid with a length of 20.0 cm and a radius of 1.50 cm carries a current of 2.00 A. A second coil of four turns is wrapped tightly around this solenoid, so it can be considered to have the same radius as the solenoid. The current in the 300-turn solenoid increases steadily to 5.00 A in 0.900 s. (a) Use Ampère’s law to calculate the initial magnetic field in the middle of the 300-turn solenoid. (b) Calculate the magnetic held of the 300-turn solenoid alter 0.900 s. (c) Calculate the area of the 4-turn coil. (d) Calculate the change in the magnetic flux through the 4-turn coil during the same period. (e) Calculate the average induced emf in the 4-turn coil. Is it equal to the instantaneous induced emf? Explain. (f) Why could contributions to the magnetic field by the current in the 4-turn coil be neglected in this calculation?

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