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An ideal transformer has 500 and 5000 turns in primary and secondary windings respectively. If the primary voltage is connected to a 6V battery then the secondary voltage is
  • a)
    0
  • b)
    60 V
  • c)
    0.6 V
  • d)
    6.0 V
Correct answer is option 'A'. Can you explain this answer?
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An ideal transformer has 500 and 5000 turns in primary and secondary w...
Calculation:
The voltage ratio in an ideal transformer is equal to the turns ratio. Therefore, the secondary voltage can be calculated using the formula:
\[
\frac{V_p}{V_s} = \frac{N_p}{N_s}
\]
Where:
- \(V_p\) is the primary voltage (6 V)
- \(V_s\) is the secondary voltage
- \(N_p\) is the number of turns in the primary winding (500 turns)
- \(N_s\) is the number of turns in the secondary winding (5000 turns)

Calculation:
Substitute the given values into the formula:
\[
\frac{6}{V_s} = \frac{500}{5000}
\]
\[
V_s = \frac{5000}{500} \times 6
\]
\[
V_s = 0 \text{ V}
\]
Therefore, the secondary voltage is 0 V. This implies that no voltage is induced across the secondary winding when the primary voltage is connected to a 6V battery.
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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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An ideal transformer has 500 and 5000 turns in primary and secondary windings respectively. If the primary voltage is connected to a 6V battery then the secondary voltage isa)0b)60 Vc)0.6 Vd)6.0 VCorrect answer is option 'A'. Can you explain this answer?
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