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In a transformer, if the primary coil has 200 turns and the secondary coil has 5

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Question: In a transformer, if the primary coil has 200 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?

Options:

  1. Vp/Vs = 4
  2. Vp/Vs = 0.25
  3. Vp/Vs = 2
  4. Vp/Vs = 1

Correct Answer: Vp/Vs = 4

Solution: 

The voltage ratio in a transformer is inversely proportional to the turns ratio: Vp/Vs = Np/Ns = 200/50 = 4.

In a transformer, if the primary coil has 200 turns and the secondary coil has 5

Practice Questions

Q1
In a transformer, if the primary coil has 200 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?
  1. Vp/Vs = 4
  2. Vp/Vs = 0.25
  3. Vp/Vs = 2
  4. Vp/Vs = 1

Questions & Step-by-Step Solutions

In a transformer, if the primary coil has 200 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?
Correct Answer: 4
  • Step 1: Identify the number of turns in the primary coil (Np) and the secondary coil (Ns). Here, Np = 200 and Ns = 50.
  • Step 2: Write down the formula for the voltage ratio in a transformer, which is Vp/Vs = Np/Ns.
  • Step 3: Substitute the values of Np and Ns into the formula: Vp/Vs = 200/50.
  • Step 4: Simplify the fraction 200/50 to find the ratio: 200 divided by 50 equals 4.
  • Step 5: Conclude that the voltage in the primary coil (Vp) is 4 times the voltage in the secondary coil (Vs).
  • Transformer Voltage Ratio – The relationship between the primary and secondary voltages in a transformer is determined by the turns ratio, where the voltage ratio is inversely proportional to the turns ratio.
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