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An infinitely long cylinder of radius \( R \) carries a frozen-in magnetization \(\vec{M} = ke^{-s}\hat{z}\), where \( k \) is a constant and \( s \) is the distance from the axis of the cylinder. The magnetic permeability of free space is \(\mu_0\). There is no free current present anywhere. The magnetic flux density (\(\vec{B}\)) inside the cylinder is
An infinitely long cylinder of radius \( R \) carries a frozen-in magnetization \(\vec{M} = ke^{-s}\hat{z}\), where \( k \) is a constant and \( s \) is the distance from the axis of the cylinder. The magnetic permeability of free space is \(\mu_0\). There is no free current present anywhere. The magnetic flux density (\(\vec{B}\)) inside the cylinder is
Updated On: Jul 12, 2024
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- \(\mu_0 ke^{-R} \hat{z}\)
- \(\mu_0 ke^{-s} \hat{z}\)
- \(\mu_0 ke^{-s} \left( \frac{R}{s} \right) \hat{z}\)
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The Correct Option is C
Solution and Explanation
The correct option is (C) :\(\mu_0 ke^{-s} \hat{z}\)
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