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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 the primary and secondary voltages?

Options:

  1. V_primary = V_secondary
  2. V_primary < V_secondary
  3. V_primary > V_secondary
  4. V_primary = 2 * V_secondary

Correct Answer: V_primary < V_secondary

Solution: 

In a transformer, the voltage ratio is directly proportional to the turns ratio. Therefore, if the secondary coil has more turns, the secondary voltage will be greater than the primary voltage.

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 the primary and secondary voltages?
  1. V_primary = V_secondary
  2. V_primary < V_secondary
  3. V_primary > V_secondary
  4. V_primary = 2 * V_secondary

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 the primary and secondary voltages?
  • Step 1: Understand that a transformer has two coils: the primary coil and the secondary coil.
  • Step 2: Identify the number of turns in each coil. The primary coil has 100 turns and the secondary coil has 200 turns.
  • Step 3: Recognize that the voltage in a transformer is related to the number of turns in each coil.
  • Step 4: Use the formula for voltage ratio: Voltage in primary (V1) / Voltage in secondary (V2) = Turns in primary (N1) / Turns in secondary (N2).
  • Step 5: Substitute the values: V1 / V2 = 100 / 200.
  • Step 6: Simplify the ratio: V1 / V2 = 1 / 2.
  • Step 7: This means that if the primary voltage (V1) is 1 volt, the secondary voltage (V2) will be 2 volts.
  • Step 8: Conclude that the secondary voltage is greater than the primary voltage because the secondary coil has more turns.
  • Turns Ratio – The relationship between the number of turns in the primary and secondary coils of a transformer, which determines the voltage transformation.
  • Voltage Transformation – The principle that the voltage across the primary and secondary coils of a transformer is proportional to the number of turns in each coil.
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