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Physics / Physics with MasteringPhysics 4 / Chapter 23 / Problem 7P

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

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A solenoid with 385 turns per meter and a diameter of 17.0

Chapter 23, Problem 7P

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QUESTION:

Problem 7P

A solenoid with 385 turns per meter and a diameter of 17.0 cm has a magnetic flux through its core of magnitude 1.28 × 10−4 T · m2. (a) Find the current in this solenoid, (b) How would your answer to part (a) change if the diameter of the solenoid were doubled? Explain.

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QUESTION:

Problem 7P

A solenoid with 385 turns per meter and a diameter of 17.0 cm has a magnetic flux through its core of magnitude 1.28 × 10−4 T · m2. (a) Find the current in this solenoid, (b) How would your answer to part (a) change if the diameter of the solenoid were doubled? Explain.

ANSWER:

Solution 7P

Step 1 of 3

Here we have to calculate the current through the solenoid and the change in the magnetic field if the diameter is doubled.

The equation for the magnitude of magnetic flux is,

----------(1)

Where - Intensity of magnetic field

- Area of cross section of the surface

- Angle between the area vector and the magnetic field vector

The equation for the magnetic field of a solenoid.

---------(2)

Where, - Permeability of free space

- Number of turns per metre

- Current through the circuit

a)

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