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In a transformer the primary has 500 turns and secondary has 50 turn. 100 volts are applied to the primary coil, the voltage developed in the secondary will be
  • a)
    1 V
  • b)
    10 V
  • c)
    1000 V
  • d)
    10000 V
Correct answer is option 'B'. Can you explain this answer?
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In a transformer the primary has 500 turns and secondary has 50 turn. ...
Calculation of Voltage in the Secondary Coil:
To calculate the voltage developed in the secondary coil of the transformer, we can use the formula:
\[
\frac{V_p}{V_s} = \frac{N_p}{N_s}
\]
Where:
- \(V_p\) = Voltage in the primary coil (100 V)
- \(V_s\) = Voltage in the secondary coil (to be calculated)
- \(N_p\) = Number of turns in the primary coil (500 turns)
- \(N_s\) = Number of turns in the secondary coil (50 turns)

Calculating Voltage in the Secondary Coil:
Substitute the given values into the formula:
\[
\frac{100}{V_s} = \frac{500}{50}
\]
Simplify the equation:
\[
\frac{100}{V_s} = 10
\]
Now, solve for \(V_s\):
\[
V_s = \frac{100}{10} = 10 \text{ volts}
\]
Therefore, the voltage developed in the secondary coil of the transformer is 10 volts.

Conclusion:
The correct answer is option 'b) 10 V'. This calculation demonstrates the relationship between the number of turns in the primary and secondary coils of a transformer and how it affects the voltage developed in each coil.
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ParagraphA thermal power plant produces electric power of 600 kW at 4000 V, which is to be transported to a place 20 km away from the power plant for consumers’ usage. It can be transported either directly with a cable of large current carrying capacity or by using a combination of step-up and step-down transformers at the two ends. The drawback of the direct transmission is the large energy dissipation. In the method using transformers, the dissipation is much smaller. In this method, a step-up transformer is used at the plant side so that the current is reduced to a smaller value. At the consumers’ end, a step-down transformer is used to supply power to the consumers at the specified lower voltage. It is reasonable to assume that the power cable is purely resistive and the transformers are ideal with the power factor unity. All the currents and voltage mentioned are rms values.Q.In the method using the transformers, assume that the ratio of the number of turns in the primary to that inthe secondary in the step-up transformer is 1 : 10. If the power to the consumers has to be supplied at200 V, the ratio of the number of turns in the primary to that in the secondary in the step-down transformeris

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In a transformer the primary has 500 turns and secondary has 50 turn. 100 volts are applied to the primary coil, the voltage developed in the secondary will bea)1 Vb)10 Vc)1000 Vd)10000 VCorrect answer is option 'B'. Can you explain this answer?
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