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What is the power factor of the circuit when a current of 8 A flows in the ac circuit when 100 V dc is applied to it whereas it takes 125 V ac to produce the same current?
- a)0.8
- b)1.6
- c)1.25
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
What is the power factor of the circuit when a current of 8 A flows i...
Power Factor is a ratio of the real power and apparent power flowing in the circuit.
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cosϕ = 100/125 = 0.8
Important:
Active power (measured in Watt) is actual power or true power which does the useful work. (so, most of the equipment’s which consume electricity or electric power are rated in terms of Watt or HP)
Reactive power (measured in Volt-Ampere- Reactive) is imaginary power thata the is required for the processes like energy conversion & energy storage. (so, the equipment’s which generate only reactive power are rated in terms of VAr. e.g. capacitor banks for pf correction)
Apparent power (measured in terms of Volt-Ampere) is total power. And is combination of active and reactive powers
Most Upvoted Answer
What is the power factor of the circuit when a current of 8 A flows i...
Answer:
To calculate the power factor of the circuit, we need to first find the apparent power and the true power.
Step 1: Calculate the apparent power (S):
Apparent power (S) is given by the product of voltage (V) and current (I):
S = V * I
In the first case, when 100 V DC is applied to the circuit:
S1 = 100 V * 8 A
S1 = 800 VA
In the second case, when 125 V AC is applied to the circuit:
S2 = 125 V * 8 A
S2 = 1000 VA
Step 2: Calculate the true power (P):
True power (P) is given by the product of apparent power (S) and the power factor (PF):
P = S * PF
In the first case, we can assume that the power factor is 1 since it is a DC circuit. Therefore, the true power is equal to the apparent power:
P1 = S1
P1 = 800 VA
In the second case, we need to calculate the power factor using the formula:
PF = P2 / S2
Given that P2 = P1 = 800 VA, we can substitute the values into the formula:
PF = 800 VA / 1000 VA
PF = 0.8
Step 3: Calculate the power factor (PF):
To find the power factor, we need to divide the true power by the apparent power:
PF = P / S
In the first case, the power factor is 1 since the true power and apparent power are equal:
PF1 = P1 / S1
PF1 = 800 VA / 800 VA
PF1 = 1
In the second case, we have already calculated the power factor:
PF2 = 0.8
Therefore, the power factor of the circuit when a current of 8 A flows in the AC circuit with 125 V AC applied is 0.8, which corresponds to option A.
To calculate the power factor of the circuit, we need to first find the apparent power and the true power.
Step 1: Calculate the apparent power (S):
Apparent power (S) is given by the product of voltage (V) and current (I):
S = V * I
In the first case, when 100 V DC is applied to the circuit:
S1 = 100 V * 8 A
S1 = 800 VA
In the second case, when 125 V AC is applied to the circuit:
S2 = 125 V * 8 A
S2 = 1000 VA
Step 2: Calculate the true power (P):
True power (P) is given by the product of apparent power (S) and the power factor (PF):
P = S * PF
In the first case, we can assume that the power factor is 1 since it is a DC circuit. Therefore, the true power is equal to the apparent power:
P1 = S1
P1 = 800 VA
In the second case, we need to calculate the power factor using the formula:
PF = P2 / S2
Given that P2 = P1 = 800 VA, we can substitute the values into the formula:
PF = 800 VA / 1000 VA
PF = 0.8
Step 3: Calculate the power factor (PF):
To find the power factor, we need to divide the true power by the apparent power:
PF = P / S
In the first case, the power factor is 1 since the true power and apparent power are equal:
PF1 = P1 / S1
PF1 = 800 VA / 800 VA
PF1 = 1
In the second case, we have already calculated the power factor:
PF2 = 0.8
Therefore, the power factor of the circuit when a current of 8 A flows in the AC circuit with 125 V AC applied is 0.8, which corresponds to option A.
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What is the power factor of the circuit when a current of 8 A flows in the ac circuit when 100 V dc is applied to it whereas it takes 125 V ac to produce the same current?a)0.8b)1.6c)1.25d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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