A sinusoidal flux of 100 mWb (maximum) links with 10 turns of a transformer secondary. Calculate the rms value of the induced emf in the secondary. Supply frequency is 50 Hz.
A sinusoidal flux of 100 mWb (maximum) links with 10 turns of a transformer secondary. Calculate the rms value of the induced emf in the secondary. Supply frequency is 50 Hz.
Right Answer is:
222 V
SOLUTION
When a magnetic flux linked with a coil changes, an electromotive force (EMF) is induced in the coil. This is Faraday’s Law of Electromagnetic Induction. The RMS value of the induced EMF in a coil is given by the formula:
E = 4.44 * Φₘ * f * N
Where:
- E = RMS value of the induced EMF
- Φₘ = Maximum flux linkage (in Webers)
- f = Frequency of the AC supply (in Hertz)
- N = Number of turns in the coil
Calculating the Induced EMF:
Substituting the given values into the formula:
E = 4.44 * 0.1 * 50 * 10
E = 222 V
Therefore, the RMS value of the induced EMF in the secondary is 222 volts.