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In a transformer, if the primary coil has 100 turns and the secondary coil has 2

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Question: In a transformer, if the primary coil has 100 turns and the secondary coil has 200 turns, what is the relationship between primary and secondary voltages?

Options:

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

Correct Answer: Vp/Vs = 2

Solution: 

The voltage ratio in a transformer is given by Vp/Vs = Np/Ns, so Vp/Vs = 100/200 = 1/2, hence Vs = 2Vp.

In a transformer, if the primary coil has 100 turns and the secondary coil has 2

Practice Questions

Q1
In a transformer, if the primary coil has 100 turns and the secondary coil has 200 turns, what is the relationship between primary and secondary voltages?
  1. Vp/Vs = 1/2
  2. Vp/Vs = 2
  3. Vp/Vs = 1
  4. Vp/Vs = 2/1

Questions & Step-by-Step Solutions

In a transformer, if the primary coil has 100 turns and the secondary coil has 200 turns, what is the relationship between primary and secondary voltages?
  • Step 1: Identify the number of turns in the primary coil (Np) and the secondary coil (Ns). Here, Np = 100 and Ns = 200.
  • 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 = 100/200.
  • Step 4: Simplify the fraction 100/200 to get 1/2.
  • Step 5: This means Vp/Vs = 1/2, which can be rearranged to find Vs: Vs = 2Vp.
  • Step 6: Conclude that the secondary voltage (Vs) is twice the primary voltage (Vp).
  • 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 and secondary coils.
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