A 310 turn solenoid with a length of 23.0 cm and a radius of 1.60 cm carries a current of 1.85 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 310 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 310 turn solenoid. (b) Calculate the magnetic field of the 310 turn solenoid after 0.900 s. (c) Calculate the area of the 4-turn coil. m2 (d) Calculate the change in the magnetic flux through the 4-turn coil during the same period. Wb (e) Calculate the average induced emf in the 4-turn coil. Is it equal to the instantaneous induced emf? Explain.

A 310 turn solenoid with a length of 23.0 cm and a radius of 1.60 cm carries a current of 1.85 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 310 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 310 turn solenoid. (b) Calculate the magnetic field of the 310 turn solenoid after 0.900 s. (c) Calculate the area of the 4-turn coil. m2 (d) Calculate the change in the magnetic flux through the 4-turn coil during the same period. Wb (e) Calculate the average induced emf in the 4-turn coil. Is it equal to the instantaneous induced emf? Explain.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Electromagnets

The word "electromagnet" is composed of two words, ‘electro’ and ‘magnet’. It is a type of magnet in which an electric current helps in the generation of a magnetic field. Electromagnets usually consist of two major parts, wire and a coil around which the wire is wound. This is called a solenoid. When an electric current is allowed to pass through the coiled wire, the electric current produces a magnetic field. This magnetic field is present only when current is passing through the wire.

Question

A 310 turn solenoid with a length of 23.0 cm and a radius of 1.60 cm carries a current of 1.85 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 310 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 310 turn solenoid.
(b) Calculate the magnetic field of the 310 turn solenoid after 0.900 s.
(c) Calculate the area of the 4-turn coil.
m2
(d) Calculate the change in the magnetic flux through the 4-turn coil during the same period.
Wb
(e) Calculate the average induced emf in the 4-turn coil.
V
Is it equal to the instantaneous induced emf? Explain.

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