For the circuit in Fig. 11.81, find Vs.
Find the voltage
Answer to Problem 62P
The voltage
Explanation of Solution
Given data:
Refer to Figure 11.81 in the textbook.
The voltage
For load A,
The real power
The power factor
For load B,
The real power
The power factor
Formula used:
Write the expression to find the complex power.
Here,
Write the expression to find the power factor
Here,
Write the expression to find the real power.
Write the expression to find the reactive power.
Write the expression to find the output voltage.
Calculation:
The given Figure 11.81 is redrawn as shown in Figure 1.
For load A:
Substitute
Substitute
Rearrange the equation as follows,
Substitute
Substitute
For load B:
Substitute
Substitute
Rearrange the equation as follows,
Substitute
Substitute
As the power factor is leading, the load is capacitive. Therefore, the equation becomes,
The modified Figure is shown in Figure 2.
Substitute
The voltage
Substitute
Substitute
Convert the equation from polar to rectangular form.
The current
Substitute
The voltage supplied by the source is,
Substitute
Convert the equation from rectangular to polar form.
Conclusion:
Thus, the voltage
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Chapter 11 Solutions
ECE 285/286:FUND ELCT CIRCUITS(LL)WACC
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