A coil of area 10cm² is in a uniform field of magnetic induction 0.1T. The field is reduced to zero in 1ms . Determine the emf
To determine the EMF (electromotive force) induced in the coil, we can use Faraday's law of electromagnetic induction, which states:
EMF = -N * dΦ/dt
Where:
- EMF is the induced electromotive force
- N is the number of turns in the coil
- dΦ/dt is the rate of change of magnetic flux through the coil
In this case, we are given that the coil has an area of 10 cm², which is equivalent to 0.001 m². The magnetic induction of the field is 0.1 T.
The magnetic flux through the coil (Φ) is defined as the product of the magnetic induction (B) and the area (A) of the coil:
Φ = B * A
Substituting the given values, we have:
Φ = 0.1 T * 0.001 m²
Φ = 0.0001 Wb
Since the magnetic field is reduced to zero in 1 ms (0.001 s), we can calculate the rate of change of magnetic flux:
dΦ/dt = (Φ_final - Φ_initial) / Δt
dΦ/dt = (0 - 0.0001 Wb) / 0.001 s
dΦ/dt = -0.1 Wb/s
Now, we need to determine the number of turns in the coil. This information is not provided in the question, so we cannot directly calculate the EMF.