Using Fig. 11.74, design a problem to help other students better understand the conservation of AC power.
Design a problem to make the better understand of conservation of AC power.
Explanation of Solution
Problem design:
In Figure 11.74, consider the value of capacitive reactance
Formula used:
Write the expression to find the complex power.
Here,
Write the expression for the impedance
Here,
R is the value of resistance, and
X is the value of reactance.
Calculation:
Refer to Figure 11.74 in the textbook.
The given circuit is modified as shown in Figure 1.
In Figure 1, apply Kirchhoff’s voltage law for loop 1 as follows.
In Figure 1, apply Kirchhoff’s voltage law for loop 2 as follows.
Put equation (3) and (4) in matrix form as follows,
Evaluate the determinant
Evaluate the determinant
Evaluate the determinant
In Figure 1, the current
Substitute
The magnitude of current
In Figure 2, the current
Substitute
The magnitude of current
The current
Substitute
The magnitude of current
The complex power absorbed by the
Substitute
From Figure (1), the impedance of capacitance is,
The complex power absorbed by the capacitor is,
Substitute
The complex power absorbed by the resistor is,
Substitute
From Figure (1), the impedance of inductance is,
The complex power absorbed by the inductor is,
Substitute
The complex power absorbed by the
Substitute
Therefore, the complex power absorbed by the
Conclusion:
Thus, a problem is designed and solved for the better understand of conservation of AC power.
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Chapter 11 Solutions
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