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Solved: Two coils are wound around the same cylindrical
Chapter 30, Problem 2E(choose chapter or problem)
Two coils are wound around the same cylindrical form, like the coils in Example 30.1. When the current in the first coil is decreasing at a rate of \(-0.242 \mathrm{~A} / \mathrm{s}\), the induced emf in the second coil has magnitude \(1.65 \times 10^{-3}\) V (a) What is the mutual inductance of the pair of coils? (b) If the second coil has 25 turns, what is the flux through each turn when the current in the first coil equals 1.20 A? (c) If the current in the second coil increases at a rate of what is the magnitude of \(0.360 \mathrm{~A} / \mathrm{s}\), the induced emf in the first coil?
Equation Transcription:
Text Transcription:
-0.242 A/s
1.65x10^-3
0.360 A/s
Questions & Answers
QUESTION:
Two coils are wound around the same cylindrical form, like the coils in Example 30.1. When the current in the first coil is decreasing at a rate of \(-0.242 \mathrm{~A} / \mathrm{s}\), the induced emf in the second coil has magnitude \(1.65 \times 10^{-3}\) V (a) What is the mutual inductance of the pair of coils? (b) If the second coil has 25 turns, what is the flux through each turn when the current in the first coil equals 1.20 A? (c) If the current in the second coil increases at a rate of what is the magnitude of \(0.360 \mathrm{~A} / \mathrm{s}\), the induced emf in the first coil?
Equation Transcription:
Text Transcription:
-0.242 A/s
1.65x10^-3
0.360 A/s
ANSWER:
Solution 2E
Step 1 of 4 :
A current flowing in coil 1 produces a magnetic field and hence a magnetic flux through coil 2. If the current in coil 1 changes at rate , the flux through coil 2 changes as well; according to Faraday’s law, this induces an emf in coil 2 that is
. In this way, a change in the current in one circuit can induce an emf in a second circuit. The property that is responsible for this induction is mutual inductance M.
Given data,
Rate of flow of current in first coil,
Induced emf in the second coil,
To find,
- Mutual inductance , M=?
-
When N=25 turns and I=1.2 A , Magnetic flux through each turn,
-
If current in second coil increases with rate
, magnitude of emf in first coil,