Question:

The primary winding of a transformer has 500 turns whereas its secondary has 5000 turns. The primary is connected to an A.C. supply 20 V, 50 Hz. The secondary will have an output of

Updated On: Aug 3, 2024
  • 2 V, 50 Hz
  • 2 V, 5 Hz
  • 200 V, 50 Hz
  • 200 V, 500 Hz.
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The Correct Option is C

Solution and Explanation

Turns on primary winding = 500; Turns on 
secondary winding = 5000; Primary winding 
voltage \((E_p)\) = 20 V and frequency = 50 Hz. 
\(\frac{N_s}{N_p}=\frac{E_s}{E_p} \, or \, \frac{5000}{500}=\frac{E_s}{20}\) 
or \(E_s=\frac{5000\times20}{500}=200 \, V\) and frequency remains 
the same. Therefore secondary winding will have 
an output of 200 V, 50 Hz.
So, the correct answer is (C): 200 V, 50 Hz.
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Top Questions on Electromagnetic induction

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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:-

  1. When we place the conductor in a changing magnetic field.
  2. 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

  1. Electromagnetic induction in AC generator
  2. Electrical Transformers
  3. Magnetic Flow Meter