Question:
In a pair of adjacent coils, for a change of current in one of the coils from 0 A to 10 A in 0.25 s, the magnetic flux in the adjacent coil changes by 15 Wb. The mutual inductance of the coils is ________.
Fill in the blank with the correct answer from the options given below
In a pair of adjacent coils, for a change of current in one of the coils from 0 A to 10 A in 0.25 s, the magnetic flux in the adjacent coil changes by 15 Wb. The mutual inductance of the coils is ________.
Fill in the blank with the correct answer from the options given below
Fill in the blank with the correct answer from the options given below
Updated On: Mar 27, 2026
- 120 H
- 12 H
- 1.5 H
- 0.75 H
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The Correct Option is C
Solution and Explanation
To determine the mutual inductance (M) of a system involving two coils, we can use the formula related to the change in magnetic flux linkage:
ΔΦ=MΔI
where:
- ΔΦ is the change in magnetic flux in the adjacent coil.
- ΔI is the change in current in the first coil.
- M is the mutual inductance.
Given that the magnetic flux change (ΔΦ) is 15 Wb and the change in current (ΔI) is from 0 A to 10 A, the calculation steps are as follows:
- Identify the given values:
- \(ΔΦ=15\ Wb\)
- \(ΔI=10 \ A−0 \ A=10 \ A\)
- Apply the formula for mutual inductance:
\(M=\frac {ΔΦ}{ΔI}=\frac {15 \ Wb}{10 \ A}\)
This simplifies to:
\(M=1.5 H\)
Thus, the mutual inductance of the coils is 1.5 H.
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