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A long, cylindrical conductor of radius a has two
Chapter 30, Problem 75(choose chapter or problem)
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.
Questions & Answers
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 :