emf moving rod

Question

Rod length L moving at speed v perpendicular to uniform B. Induced emf?

RankGuru · Accepted Answer

1. **Motional EMF Concept**: When a conductor moves through a magnetic field, the free charges inside it experience a Lorentz force ($F = qvB$), causing them to accumulate at the ends.
2. **Field Alignment**: If the rod (length $L$), magnetic field ($B$), and velocity vector ($v$) are mutually perpendicular:
3. **Derivation**: Potential difference $V = E \cdot L$. At equilibrium, electric force $qE = qvB \implies E = vB$. Thus, $V = vBL$.
4. **Equation**: $\epsilon = BLv$.
5. **Usage**: This is the basic principle behind power generation in various electromagnetic devices.

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emf moving rod

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