Question:
A cylindrical conducting rod is kept along z-axis with magnetic field parallel to z-axis. Find induced current.
A cylindrical conducting rod is kept along z-axis with magnetic field parallel to z-axis. Find induced current.
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If \(\vec{v} \parallel \vec{B}\), magnetic force is zero.
Updated On: Apr 23, 2026
- zero
- clockwise
- anticlockwise
- opposite to magnetic field
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The Correct Option is A
Solution and Explanation
Concept:
Magnetic force:
\[
\vec{F} = q(\vec{v} \times \vec{B})
\]
Step 1: Direction check
Rod axis and magnetic field both along z-axis: \[ \vec{v} \parallel \vec{B} \Rightarrow \vec{v} \times \vec{B} = 0 \]
Step 2: Conclusion
No force $\Rightarrow$ no charge separation $\Rightarrow$ no current. Conclusion: zero
Step 1: Direction check
Rod axis and magnetic field both along z-axis: \[ \vec{v} \parallel \vec{B} \Rightarrow \vec{v} \times \vec{B} = 0 \]
Step 2: Conclusion
No force $\Rightarrow$ no charge separation $\Rightarrow$ no current. Conclusion: zero
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