Concept explainers
For the following voltage and current phasors, calculate the complex power, apparent power, real power, and reactive power. Specify whether the pf is leading or lagging.
(a)
Find the complex power, apparent power, real power, and reactive power for the given voltage and current phasor. Also mention whether the power factor is leading or lagging.
Answer to Problem 46P
The complex power is
Explanation of Solution
Given data:
The voltage phasor,
The current phasor,
Formula used:
Write the expression to find the complex power
Here,
Write the expression for complex power
Here,
Calculation:
Substitute
Convert equation (5) from polar form to rectangular form. Therefore,
From equation (5), the apparent power
On comparing equation (4) and (6), the real power
From equation (1) and (2), the power factor
Conclusion:
Thus, the complex power is
(b)
Find the complex power, apparent power, real power, and reactive power for the given voltage and current phasor. Also mention whether the power factor is leading or lagging.
Answer to Problem 46P
The complex power is
Explanation of Solution
Given data:
The voltage phasor,
The current phasor,
Calculation:
Substitute
Convert equation (9) from polar form to rectangular form. Therefore,
From equation (9), the apparent power
On comparing equation (4) and (10), the real power
From equation (7) and (8), the power factor
Conclusion:
Thus, the complex power is
(c)
Find the complex power, apparent power, real power, and reactive power for the given voltage and current phasor. Also mention whether the power factor is leading or lagging.
Answer to Problem 46P
The complex power is
Explanation of Solution
Given data:
The voltage phasor,
The current phasor,
Calculation:
Substitute
Convert equation (13) from polar form to rectangular form. Therefore,
From equation (13), the apparent power
On comparing equation (4) and (14), the real power
From equation (11) and (12), the power factor
Conclusion:
Thus, the complex power is
(d)
Find the complex power, apparent power, real power, and reactive power for the given voltage and current phasor. Also mention whether the power factor is leading or lagging.
Answer to Problem 46P
The complex power is
Explanation of Solution
Given data:
The voltage phasor,
The current phasor,
Calculation:
Substitute
Convert equation (17) from polar form to rectangular form. Therefore,
From equation (17), the apparent power
On comparing equation (4) and (18), the real power
From equation (15) and (16), the power factor
Conclusion:
Thus, the complex power is
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Chapter 11 Solutions
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