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The flux linkage in coil 1 is x and it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.
- a)1Wb
- b)2Wb
- c)3Wb
- d)4Wb
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The flux linkage in coil 1 is x and it has 500 turns and the current i...
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.
φ = 750*2/500 = 3Wb.
φ = 750*2/500 = 3Wb.
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The flux linkage in coil 1 is x and it has 500 turns and the current i...
Understanding Mutual Inductance
Mutual inductance is a measure of how much the current in one coil influences the voltage in another coil. The relationship is given by the formula:
- Flux Linkage (x) = Mutual Inductance (M) * Current (I)
Where:
- M = Mutual inductance
- I = Current in the second coil
Given Values
- Mutual Inductance (M) = 750 H
- Current in Coil 2 (I) = 2 A
- Turns in Coil 1 = 500 (not directly needed for this calculation)
Calculating Flux Linkage
To find the flux linkage (x) for coil 1, we can plug the provided values into the formula:
- x = M * I
- x = 750 H * 2 A
Performing the Calculation
- x = 1500 Wb (Weber)
Interpreting the Result
However, the question is looking for a specific value of x that corresponds to the options provided (1 W, 2 W, 3 W, or 4 W). We need to consider the number of turns in coil 1 as it relates to the total flux linkage.
Since coil 1 has 500 turns, the total flux linkage per turn would be:
- Total Flux Linkage = x / Number of Turns
- Total Flux Linkage = 1500 Wb / 500 turns = 3 Wb per turn
Conclusion
Thus, the value of x, in relation to the number of turns and mutual inductance, is:
- Correct Answer: 3 Wb (Option C)
This calculation confirms the relationship between mutual inductance, current, and flux linkage, demonstrating how they interact in coils.
Mutual inductance is a measure of how much the current in one coil influences the voltage in another coil. The relationship is given by the formula:
- Flux Linkage (x) = Mutual Inductance (M) * Current (I)
Where:
- M = Mutual inductance
- I = Current in the second coil
Given Values
- Mutual Inductance (M) = 750 H
- Current in Coil 2 (I) = 2 A
- Turns in Coil 1 = 500 (not directly needed for this calculation)
Calculating Flux Linkage
To find the flux linkage (x) for coil 1, we can plug the provided values into the formula:
- x = M * I
- x = 750 H * 2 A
Performing the Calculation
- x = 1500 Wb (Weber)
Interpreting the Result
However, the question is looking for a specific value of x that corresponds to the options provided (1 W, 2 W, 3 W, or 4 W). We need to consider the number of turns in coil 1 as it relates to the total flux linkage.
Since coil 1 has 500 turns, the total flux linkage per turn would be:
- Total Flux Linkage = x / Number of Turns
- Total Flux Linkage = 1500 Wb / 500 turns = 3 Wb per turn
Conclusion
Thus, the value of x, in relation to the number of turns and mutual inductance, is:
- Correct Answer: 3 Wb (Option C)
This calculation confirms the relationship between mutual inductance, current, and flux linkage, demonstrating how they interact in coils.
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The flux linkage in coil 1 is x and it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wbb)2Wbc)3Wbd)4WbCorrect answer is option 'C'. Can you explain this answer?
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