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If a long hollow copper pipe carries a c...

If a long hollow copper pipe carries a current, then magnetic field is produced:

A

inside the pipe only

B

outside the pipe only

C

both inside and outside the pipe

D

no where

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The correct Answer is:
To determine the magnetic field produced by a long hollow copper pipe carrying a current, we can follow these steps: ### Step 1: Understand the Configuration We have a long hollow copper pipe that carries an electric current. The pipe is hollow, meaning there is an empty space inside it. ### Step 2: Apply Ampère's Law According to Ampère's Law, the magnetic field (B) around a current-carrying conductor can be determined by considering the current enclosed by an imaginary loop (Amperian loop) around the conductor. ### Step 3: Analyze the Inside of the Hollow Pipe When we consider a loop inside the hollow portion of the pipe: - The current enclosed by this loop is zero because there is no current flowing through the hollow space. - Therefore, according to Ampère's Law, the magnetic field inside the hollow pipe (B_inside) is given by: \[ B_{\text{inside}} = 0 \] ### Step 4: Analyze the Outside of the Hollow Pipe Now, consider a loop outside the hollow pipe: - The current enclosed by this loop is equal to the total current flowing through the pipe. - Hence, the magnetic field outside the pipe (B_outside) is non-zero and can be calculated using Ampère's Law. ### Step 5: Conclusion From the above analysis, we conclude that: - The magnetic field inside the hollow copper pipe is zero. - The magnetic field exists outside the hollow copper pipe. Thus, the answer to the question is that the magnetic field is produced outside the pipe. ### Final Answer The magnetic field is produced **outside the hollow copper pipe**. ---

To determine the magnetic field produced by a long hollow copper pipe carrying a current, we can follow these steps: ### Step 1: Understand the Configuration We have a long hollow copper pipe that carries an electric current. The pipe is hollow, meaning there is an empty space inside it. ### Step 2: Apply Ampère's Law According to Ampère's Law, the magnetic field (B) around a current-carrying conductor can be determined by considering the current enclosed by an imaginary loop (Amperian loop) around the conductor. ...
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