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In a transformer, if the primary coil has 100 turns and the secondary coil has 5

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Question: In a transformer, if the primary coil has 100 turns and the secondary coil has 50 turns, what is the relationship between the primary voltage (Vp) and the secondary voltage (Vs)?

Options:

  1. Vp = Vs
  2. Vp = 2Vs
  3. Vs = 2Vp
  4. Vp = 0.5Vs

Correct Answer: Vp = 2Vs

Solution: 

The voltage ratio in a transformer is given by the turns ratio: Vp/Vs = Np/Ns. Here, Vp = 2Vs.

In a transformer, if the primary coil has 100 turns and the secondary coil has 5

Practice Questions

Q1
In a transformer, if the primary coil has 100 turns and the secondary coil has 50 turns, what is the relationship between the primary voltage (Vp) and the secondary voltage (Vs)?
  1. Vp = Vs
  2. Vp = 2Vs
  3. Vs = 2Vp
  4. Vp = 0.5Vs

Questions & Step-by-Step Solutions

In a transformer, if the primary coil has 100 turns and the secondary coil has 50 turns, what is the relationship between the primary voltage (Vp) and the secondary voltage (Vs)?
  • Step 1: Identify the number of turns in the primary coil (Np) and the secondary coil (Ns). Here, Np = 100 turns and Ns = 50 turns.
  • Step 2: Write down the formula for the voltage ratio in a transformer: Vp/Vs = Np/Ns.
  • Step 3: Substitute the values of Np and Ns into the formula: Vp/Vs = 100/50.
  • Step 4: Simplify the ratio: 100/50 = 2, so Vp/Vs = 2.
  • Step 5: This means that the primary voltage (Vp) is 2 times the secondary voltage (Vs), or Vp = 2Vs.
  • Transformer Voltage Ratio – The relationship between primary and secondary voltages in a transformer is determined by the ratio of the number of turns in the primary coil (Np) to the number of turns in the secondary coil (Ns).
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