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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?
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1 question
Q1
What is the magnetic field inside a hollow cylindrical shell carrying current I?
0
μ₀I/2πR
μ₀I/4πR
μ₀I/πR
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Inside a hollow cylindrical shell, the magnetic field is zero.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the magnetic field inside a hollow cylindrical shell carrying current I?
Solution:
Inside a hollow cylindrical shell, the magnetic field is zero.
Steps: 6
Show Steps
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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