Induced electromotive force (emf) can be either positive or negative, depending on the direction of the change in magnetic flux.
In
Faraday's Law of Induction, the induced emf is given by:
\[
\text{Induced emf} = - \frac{d\Phi}{dt}
\]
Where:
- \(\Phi\) is the magnetic flux (the product of magnetic field strength and the area through which the magnetic field passes).
- \( \frac{d\Phi}{dt} \) is the rate of change of magnetic flux.
The
negative sign in Faraday's law comes from
Lenz's Law, which states that the direction of the induced current (and hence the induced emf) will always oppose the change in magnetic flux that caused it.
So, is the induced emf positive or negative?
- Positive or negative depends on the direction of the magnetic field change. The sign is a result of the interaction between the magnetic field, the conductor, and the direction of the change in flux.
- If the magnetic flux is increasing, the induced emf will oppose that increase, generating an emf that tries to reduce the flux.
- If the magnetic flux is decreasing, the induced emf will oppose that decrease, generating an emf that tries to increase the flux.
In short, the induced emf can be positive or negative depending on how the magnetic field changes and the direction of the induced current.