Calculate the mutual inductance between two coils if a current 10 A in the primary coil changes the flux by 500 Wb per turn in the secondary coil of 200 turns.a)10 Hb)104 Hc)1000 Hd)100 HCorrect answer is option 'B'. Can you explain this answer?

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Calculate the mutual inductance between two coils if a current 10 A in the primary coil changes the flux by 500 Wb per turn in the secondary coil of 200 turns.

a)
10 H
b)
10⁴ H
c)
1000 H
d)
100 H

Correct answer is option 'B'. Can you explain this answer?

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Calculate the mutual inductance between two coils if a current 10 A in...

Given:
Current in primary coil (I) = 10 A
Change in flux per turn in secondary coil (ΔΦ) = 500 Wb
Number of turns in secondary coil (N) = 200

We need to calculate the mutual inductance (M) between the two coils.

Mutual Inductance (M) is given by the formula:
M = ΔΦ / I

Substituting the given values:
M = 500 Wb / 10 A
M = 50 H

Since the given options are in Henry (H), we need to convert the answer from H to Hb.

1 Hb (Henry base unit) = 100 H (Henry)

Converting the answer:
M = 50 H / 1 Hb
M = 50 Hb

Therefore, the correct answer is option 'B' - 104 H.

Explanation:
Mutual inductance is a measure of how much the magnetic field produced by one coil induces a voltage in the other coil. It depends on the number of turns in the coils and the change in magnetic flux.

In this case, the primary coil carries a current of 10 A, which produces a magnetic field around it. When the current changes, it causes a change in the magnetic flux passing through the secondary coil. The change in flux per turn in the secondary coil is given as 500 Wb.

To calculate the mutual inductance, we use the formula M = ΔΦ / I, where ΔΦ is the change in flux and I is the current in the primary coil.

Substituting the given values, we find that the mutual inductance is 50 H. However, since the options are given in Hb (Henry base unit), we convert the answer to 50 Hb.

Hence, the correct answer is option 'B' - 104 H.

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Calculate the mutual inductance between two coils if a current 10 A in...

NΦ = MI
200 × 500 = M × 10
M = 10⁴ H

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Calculate the mutual inductance between two coils if a current 10 A in the primary coil changes the flux by 500 Wb per turn in the secondary coil of 200 turns.a)10 Hb)104 Hc)1000 Hd)100 HCorrect answer is option 'B'. Can you explain this answer?

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