The strength of the induced electromotive force (emf) in a conductor is influenced by three key factors:
1. **Magnetic Flux Density (B):**
- The strength of the magnetic field through which the conductor moves is crucial. A stronger magnetic field (higher magnetic flux density) will induce a greater emf. Magnetic flux density is measured in teslas (T).
2. **Velocity of Conductor (v):**
- The speed at which the conductor moves through the magnetic field affects the induced emf. A higher velocity increases the rate at which the conductor cuts through the magnetic field lines, resulting in a stronger induced emf.
3. **Length of the Conductor (l):**
- The length of the conductor within the magnetic field also impacts the induced emf. A longer conductor that is exposed to the magnetic field will experience a greater emf.
These factors are combined in Faraday's Law of Electromagnetic Induction, which states:
\[ \text{Emf} = B \cdot v \cdot l \cdot \sin(\theta) \]
where:
- \( \text{Emf} \) is the induced electromotive force,
- \( B \) is the magnetic flux density,
- \( v \) is the velocity of the conductor,
- \( l \) is the length of the conductor within the magnetic field,
- \( \theta \) is the angle between the direction of the magnetic field and the direction of motion of the conductor.
This formula highlights how increasing any of these factors (while keeping the others constant) will increase the induced emf.