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If the flux linkage in coil 1 is 3Wb and it has 500 turns and the current in coil 2 is 2A, calculate the mutual inductance.
- a)750H
- b)500H
- c)450H
- d)900H
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If the flux linkage in coil 1 is 3Wb and it has 500 turns and the curr...
We know that mutual inductance is the product of the number of turns in one coil and the flux linkages of that coil, divided by the current in the other coil.
M = 3*500/2 = 750H.
M = 3*500/2 = 750H.
Most Upvoted Answer
If the flux linkage in coil 1 is 3Wb and it has 500 turns and the curr...
Understanding Mutual Inductance
Mutual inductance is a measure of the ability of one coil to induce an electromotive force (EMF) in another coil due to a changing current. The formula for mutual inductance (M) is given by:
M = (Flux Linkage in Coil 1) / (Current in Coil 2)
Given Values
- Flux linkage in coil 1 = 3 Wb (Weber)
- Number of turns in coil 1 = 500 turns
- Current in coil 2 = 2 A
Calculating Mutual Inductance
To find the mutual inductance, we need to calculate the total flux linkage due to coil 1. The total flux linkage (λ) is given by:
λ = N * Φ
Where:
- N = number of turns in coil 1
- Φ = flux per turn
Since the total flux linkage is provided as 3 Wb for 500 turns, we can directly use this value in our calculation.
Now, substituting the values into the mutual inductance formula:
M = Flux Linkage / Current
M = 3 Wb / 2 A
M = 1.5 H
However, since we need the mutual inductance per turn, we should multiply this result by the number of turns (500) to account for the effective number of turns influencing coil 2:
M = (3 Wb / 2 A) * 500 = 750 H
Conclusion
Thus, the mutual inductance is:
Option 'A': 750 H
This calculation shows how the interaction between coils is quantified through mutual inductance, reflecting the coupling effect.
Mutual inductance is a measure of the ability of one coil to induce an electromotive force (EMF) in another coil due to a changing current. The formula for mutual inductance (M) is given by:
M = (Flux Linkage in Coil 1) / (Current in Coil 2)
Given Values
- Flux linkage in coil 1 = 3 Wb (Weber)
- Number of turns in coil 1 = 500 turns
- Current in coil 2 = 2 A
Calculating Mutual Inductance
To find the mutual inductance, we need to calculate the total flux linkage due to coil 1. The total flux linkage (λ) is given by:
λ = N * Φ
Where:
- N = number of turns in coil 1
- Φ = flux per turn
Since the total flux linkage is provided as 3 Wb for 500 turns, we can directly use this value in our calculation.
Now, substituting the values into the mutual inductance formula:
M = Flux Linkage / Current
M = 3 Wb / 2 A
M = 1.5 H
However, since we need the mutual inductance per turn, we should multiply this result by the number of turns (500) to account for the effective number of turns influencing coil 2:
M = (3 Wb / 2 A) * 500 = 750 H
Conclusion
Thus, the mutual inductance is:
Option 'A': 750 H
This calculation shows how the interaction between coils is quantified through mutual inductance, reflecting the coupling effect.
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Community Answer
If the flux linkage in coil 1 is 3Wb and it has 500 turns and the curr...
We know that mutual inductance is the product of the number of turns in one coil and the flux linkages of that coil, divided by the current in the other coil.
M = 3*500/2 = 750H.
M = 3*500/2 = 750H.
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If the flux linkage in coil 1 is 3Wb and it has 500 turns and the current in coil 2 is 2A, calculate the mutual inductance.a)750Hb)500Hc)450Hd)900HCorrect answer is option 'A'. Can you explain this answer?
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