Question:
In a transformer $N_p$ = 500, $N_s$ = 5000. Input voltage is 20 V and frequency is 50 Hz. What are the output voltage and frequency ?
In a transformer $N_p$ = 500, $N_s$ = 5000. Input voltage is 20 V and frequency is 50 Hz. What are the output voltage and frequency ?
Updated On: Jul 6, 2022
- 200V, 40Hz
- 400V, 50Hz
- 200V, 0Hz
- 150V, 40Hz
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The Correct Option is C
Solution and Explanation
Using $\frac{E_s}{E_p} = \frac{N_s}{N_p} : E_s = \frac{N_s}{N_p} \times E_p$
Putting the given values $E_s = \frac{5000}{500} \times 20$ = 200 V
Frequency in a transformer remains the same so the output frequency is 50 Hz.
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Concepts Used:
Electromagnetic Induction
Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-
- When we place the conductor in a changing magnetic field.
- When the conductor constantly moves in a stationary field.
Formula:
The electromagnetic induction is mathematically represented as:-
e=N × d∅.dt
Where
- e = induced voltage
- N = number of turns in the coil
- Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
- t = time
Applications of Electromagnetic Induction
- Electromagnetic induction in AC generator
- Electrical Transformers
- Magnetic Flow Meter