Question

A current \( I \) flows along the length of an infinitely long, straight, thin-walled pipe. Then:

• A. the magnetic field at all points inside the pipe is the same, but not zero
• B. the magnetic field is zero only on the axis of the pipe
• C. the magnetic field is different at different points inside the pipe
• D. the magnetic field at any point inside the pipe is zero

Hint:

For an infinitely long, straight conductor, the magnetic field inside the conductor is zero due to the symmetry of the setup.

Answer 1

The Correct Option is D

Step 1: The magnetic field inside an infinitely long, straight, current-carrying conductor is given by Ampère's Law: \[ \oint \vec{B} \cdot d\vec{l} = \mu_0 I. \] Step 2: By applying the right-hand rule, the magnetic field at points inside the pipe cancels out. Therefore, the net magnetic field at any point inside the pipe is zero.