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A transformer has 200 turns in the primary coil and 50 turns in the secondary co

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Question: A transformer has 200 turns in the primary coil and 50 turns in the secondary coil. If the primary voltage is 240 V, what is the secondary voltage? (2023)

Options:

  1. 60 V
  2. 120 V
  3. 240 V
  4. 480 V

Correct Answer: 60 V

Exam Year: 2023

Solution: 

Using the transformer equation Vp/Vs = Np/Ns, we find Vs = Vp × (Ns/Np) = 240 V × (50/200) = 60 V.

A transformer has 200 turns in the primary coil and 50 turns in the secondary co

Practice Questions

Q1
A transformer has 200 turns in the primary coil and 50 turns in the secondary coil. If the primary voltage is 240 V, what is the secondary voltage? (2023)
  1. 60 V
  2. 120 V
  3. 240 V
  4. 480 V

Questions & Step-by-Step Solutions

A transformer has 200 turns in the primary coil and 50 turns in the secondary coil. If the primary voltage is 240 V, what is the secondary voltage? (2023)
  • Step 1: Identify the number of turns in the primary coil (Np) and the secondary coil (Ns). Here, Np = 200 turns and Ns = 50 turns.
  • Step 2: Identify the primary voltage (Vp). Here, Vp = 240 V.
  • Step 3: Write down the transformer equation: Vp/Vs = Np/Ns.
  • Step 4: Rearrange the equation to find the secondary voltage (Vs): Vs = Vp × (Ns/Np).
  • Step 5: Substitute the known values into the equation: Vs = 240 V × (50/200).
  • Step 6: Calculate the fraction (50/200) which equals 0.25.
  • Step 7: Multiply 240 V by 0.25 to find Vs: Vs = 240 V × 0.25 = 60 V.
  • Transformer Basics – Understanding the relationship between primary and secondary voltages and turns in a transformer.
  • Voltage Transformation Ratio – Applying the transformer equation to calculate secondary voltage based on primary voltage and turns ratio.
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