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A transformer operates on the principle of electromagnetic induction. If the pri

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Question: A transformer operates on the principle of electromagnetic induction. If the primary coil has 100 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?

Options:

  1. V_primary = 2 * V_secondary
  2. V_primary = 0.5 * V_secondary
  3. V_primary = V_secondary
  4. V_primary = 4 * V_secondary

Correct Answer: V_primary = 2 * V_secondary

Solution: 

The voltage ratio in a transformer is given by the turns ratio. Therefore, V_primary/V_secondary = N_primary/N_secondary = 100/50 = 2, which means V_primary = 2 * V_secondary.

A transformer operates on the principle of electromagnetic induction. If the pri

Practice Questions

Q1
A transformer operates on the principle of electromagnetic induction. If the primary coil has 100 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?
  1. V_primary = 2 * V_secondary
  2. V_primary = 0.5 * V_secondary
  3. V_primary = V_secondary
  4. V_primary = 4 * V_secondary

Questions & Step-by-Step Solutions

A transformer operates on the principle of electromagnetic induction. If the primary coil has 100 turns and the secondary coil has 50 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 50 turns.
  • Step 3: Know that the relationship between the primary voltage (V_primary) and the secondary voltage (V_secondary) is based on the number of turns in each coil.
  • Step 4: Use the formula for the voltage ratio: V_primary / V_secondary = N_primary / N_secondary.
  • Step 5: Substitute the number of turns into the formula: V_primary / V_secondary = 100 / 50.
  • Step 6: Simplify the ratio: 100 / 50 = 2.
  • Step 7: This means V_primary = 2 * V_secondary, indicating that the primary voltage is twice the secondary voltage.
  • Electromagnetic Induction – The principle by which a transformer operates, involving the generation of voltage through a changing magnetic field.
  • Turns Ratio – The ratio of the number of turns in the primary coil to the number of turns in the secondary coil, which determines the voltage relationship.
  • Voltage Ratio – The relationship between primary and secondary voltages in a transformer, directly proportional to the turns ratio.
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