What is the magnetic field inside a hollow cylindrical shell carrying current I?

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Question: What is the magnetic field inside a hollow cylindrical shell carrying current I?

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Correct Answer: 0

Solution:

Inside a hollow cylindrical shell, the magnetic field is zero.

What is the magnetic field inside a hollow cylindrical shell carrying current I?

What is the magnetic field inside a hollow cylindrical shell carrying current I?

Step 1: Understand that a hollow cylindrical shell is a tube shape with no material inside it.
Step 2: Recognize that the shell carries an electric current, denoted as I.
Step 3: Recall the principle of magnetic fields created by currents: they form closed loops around the current.
Step 4: Apply Ampere's Law, which states that the magnetic field inside a closed loop of current is determined by the current enclosed by that loop.
Step 5: Note that inside the hollow shell, there is no current enclosed because the current flows along the surface of the shell, not inside it.
Step 6: Conclude that since there is no enclosed current, the magnetic field inside the hollow cylindrical shell is zero.

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