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The secondary coil of an ideal step down transformer is delivering 500W power at 12.5A current. If the ratio of turns in the primary to the secondary is 5 : 1, then the current flowing in the primary coil will be :
- a)62.5A
- b)2.5A
- c)0.4A
- d)6A
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The secondary coil of an ideal step down transformer is delivering500W...
P = VI
For an ideal transformer (100% efficient)
The correct answer is: 2.5A
For an ideal transformer (100% efficient)
The correct answer is: 2.5A
Most Upvoted Answer
The secondary coil of an ideal step down transformer is delivering500W...
Given:
- Power delivered by the secondary coil, P = 500 W
- Current flowing through the secondary coil, I = 12.5 A
- Turns ratio, Np/Ns = 5:1
To find:
Current flowing through the primary coil
Solution:
Step 1: Calculate the voltage across the secondary coil using the power formula:
P = V * I
where P is the power, V is the voltage, and I is the current.
Given that P = 500 W and I = 12.5 A, we can rearrange the formula to find V:
V = P / I = 500 W / 12.5 A = 40 V
So, the voltage across the secondary coil is 40 V.
Step 2: Use the turns ratio to calculate the voltage across the primary coil.
The turns ratio is given as Np/Ns = 5:1.
Since the voltage is directly proportional to the number of turns, we can write the equation as:
Vp/Vs = Np/Ns
Substituting the known values, we have:
Vp/40 V = 5/1
Cross-multiplying, we get:
Vp = 40 V * (5/1) = 200 V
So, the voltage across the primary coil is 200 V.
Step 3: Calculate the current flowing through the primary coil using the power formula:
P = V * I
where P is the power, V is the voltage, and I is the current.
Given that P = 500 W and V = 200 V, we can rearrange the formula to find I:
I = P / V = 500 W / 200 V = 2.5 A
Therefore, the current flowing through the primary coil is 2.5 A.
Conclusion:
The current flowing in the primary coil of the transformer is 2.5 A. Hence, the correct answer is option B.
- Power delivered by the secondary coil, P = 500 W
- Current flowing through the secondary coil, I = 12.5 A
- Turns ratio, Np/Ns = 5:1
To find:
Current flowing through the primary coil
Solution:
Step 1: Calculate the voltage across the secondary coil using the power formula:
P = V * I
where P is the power, V is the voltage, and I is the current.
Given that P = 500 W and I = 12.5 A, we can rearrange the formula to find V:
V = P / I = 500 W / 12.5 A = 40 V
So, the voltage across the secondary coil is 40 V.
Step 2: Use the turns ratio to calculate the voltage across the primary coil.
The turns ratio is given as Np/Ns = 5:1.
Since the voltage is directly proportional to the number of turns, we can write the equation as:
Vp/Vs = Np/Ns
Substituting the known values, we have:
Vp/40 V = 5/1
Cross-multiplying, we get:
Vp = 40 V * (5/1) = 200 V
So, the voltage across the primary coil is 200 V.
Step 3: Calculate the current flowing through the primary coil using the power formula:
P = V * I
where P is the power, V is the voltage, and I is the current.
Given that P = 500 W and V = 200 V, we can rearrange the formula to find I:
I = P / V = 500 W / 200 V = 2.5 A
Therefore, the current flowing through the primary coil is 2.5 A.
Conclusion:
The current flowing in the primary coil of the transformer is 2.5 A. Hence, the correct answer is option B.
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Community Answer
The secondary coil of an ideal step down transformer is delivering500W...
P = VI
For an ideal transformer (100% efficient)
The correct answer is: 2.5A
For an ideal transformer (100% efficient)
The correct answer is: 2.5A
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The secondary coil of an ideal step down transformer is delivering500Wpower at12.5Acurrent. If the ratio of turns in the primary to the secondary is5 :1, then the current flowing in the primary coil will be :a)62.5Ab)2.5Ac)0.4Ad)6ACorrect answer is option 'B'. Can you explain this answer?
Question Description
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