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The number of turs of primary and secondary coils of a transformer are 5 and 10 respectively and mutual inductance of the transformer is 25 H. Now, number of turns in primary and secondary are made 10 and 5 respectuvely. Mutual inductance of transformer will be
  • a)
    25 H
  • b)
    12.5 H
  • c)
    50 H
  • d)
    6.25 H
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The number of turs of primary and secondary coils of a transformer are...
Explanation:

Given Data:
- Number of turns in primary coil (N1) = 5
- Number of turns in secondary coil (N2) = 10
- Mutual inductance of the transformer (M) = 25 H

Formula:
- Mutual inductance (M) of a transformer is given by the formula:
M = k * sqrt(N1 * N2), where k is a constant

Calculating the constant k:
Using the given data, we can calculate the constant k:
25 = k * sqrt(5 * 10)
25 = k * sqrt(50)
k = 25 / sqrt(50)
k = 25 / 7.07
k ≈ 3.54

Calculating new mutual inductance:
- Now, the number of turns in the primary coil (N1) = 10
- Number of turns in the secondary coil (N2) = 5
- Using the formula for mutual inductance:
M = k * sqrt(N1 * N2)
M = 3.54 * sqrt(10 * 5)
M = 3.54 * sqrt(50)
M = 3.54 * 7.07
M ≈ 25 H
Therefore, the mutual inductance of the transformer will still be 25 H even after changing the number of turns in the primary and secondary coils. Hence, the correct answer is option 'a) 25 H'.
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A 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 theplant 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 power factor unity. All the currents and voltages 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 in the secondary in the step-up transformer is 1 : 10. If the power to the consumers has to be supplied at 200 V, the ratio of the number of turns in the primary to that in the secondary in the stepdown transformer is

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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The number of turs of primary and secondary coils of a transformer are 5 and 10 respectively and mutual inductance of the transformer is 25 H. Now, number of turns in primary and secondary are made 10 and 5 respectuvely. Mutual inductance of transformer will bea)25 Hb)12.5 Hc)50 Hd)6.25 HCorrect answer is option 'A'. Can you explain this answer?
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