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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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Solenois produce magnetic fields that arc relatively

Chapter 22, Problem 97GP

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QUESTION:

Problem 97GP

Solenois produce magnetic fields that arc relatively intense for the amount of current they carry. To make a direct comparison, consider a solenoid with 55 turns per centimeter, a radius of 1.0S cm, and a current of 0.622 A. (a) Find the magnetic field at the center of the solenoid. (b) What current must a long, straight wire carry to have the same magnetic field as that found in part (a)? Let the distance from the wire be the same as the radius of the solenoid, 1.05 cm.

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QUESTION:

Problem 97GP

Solenois produce magnetic fields that arc relatively intense for the amount of current they carry. To make a direct comparison, consider a solenoid with 55 turns per centimeter, a radius of 1.0S cm, and a current of 0.622 A. (a) Find the magnetic field at the center of the solenoid. (b) What current must a long, straight wire carry to have the same magnetic field as that found in part (a)? Let the distance from the wire be the same as the radius of the solenoid, 1.05 cm.

ANSWER:

Solution 97 GP:

Step 1 of 2:-

a)

Here, we have to find the magnetic field at the center of the solenoid.

Given that,

   

    .

So, the magnetic field at the center is 0.004 T.

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