Which of the following relations holds true in the case of the transformer having turns N1 and N2, voltage Vand V2, and current I1 and Iin primary and secondary coils respectively?

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MPPKVVCL Jabalpur JE Electrical 16 August 2018 Official Paper
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  1. \(\rm \frac{V_1}{V_2}=\frac{N_1}{N_2}\)
  2. \(\rm \frac{V_2}{V_1}=\frac{N_1}{N_2}\)
  3. \(\rm \frac{I_1}{I_2}=\frac{N_1}{N_2}\)
  4. \(\rm \frac{I_1}{V_1}=\frac{N_1}{N_2}\)

Answer (Detailed Solution Below)

Option 1 : \(\rm \frac{V_1}{V_2}=\frac{N_1}{N_2}\)
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Detailed Solution

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The correct answer is option 1):\(\rm \frac{V_1}{V_2}=\frac{N_1}{N_2}\)

Concept:

  • A transformer takes high-voltage electricity with a small current and changes it into low-voltage electricity with a large current, or vice versa. That is, step up or step down the voltage in a circuit.
  • A step-up transformer turns low-voltage electricity into high-voltage electricity while dropping the current. A step-down transformer changes high-voltage electricity into low-voltage electricity.
  • If we change the number of turns in the coils we change the induced emf. This allows us to change (transform) the voltage from the primary
  • The transformer has turns N1 and N2 voltages V1 and V2 and current I1 and I2 in primary and secondary coils respectively, the transformer ratio given as  V1V2=N1N2  

Additional InformationThe transformation ratio of the transformer is given by K = V2/V1 = E2/E1 = N2/N1.

Where N1 is the number of primary turns

Vis the primary voltage

N2 is the number of secondary turns

Vis the secondary voltage

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