A long, cylindrical conductor of radius a has two

Chapter 30, Problem 75

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QUESTION:

A long, cylindrical conductor of radius a has two cylindrical cavities each of diameter a through its entire length as shown in the end view of Figure P30.75. A current I is directed out of the page and is uniform through a cross section of the conducting material. Find the magnitude and direction of the magnetic field in terms of m0, I, r, and a at (a) point P1 and (b) point P2.

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QUESTION:

A long, cylindrical conductor of radius a has two cylindrical cavities each of diameter a through its entire length as shown in the end view of Figure P30.75. A current I is directed out of the page and is uniform through a cross section of the conducting material. Find the magnitude and direction of the magnetic field in terms of m0, I, r, and a at (a) point P1 and (b) point P2.

ANSWER:

Step 1 of 3

To understand the problem we have to first draw the diagram:

Here in the above diagram two points and  has been mentioned.

Given data:

Here, a is the diameter of the conductors.

r is the distance of the respective points and  from the center of the conductor.

I is the current flowing through the conductor.

Therefore, the current per unit area can be calculated as:

                                       

Therefore, the current through the total area is :

                                             

 

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