Concept explainers
The value of node voltages
Answer to Problem 4.74HP
The value of voltage
Explanation of Solution
Calculation:
The given diagram is shown in Figure 1
The conversion from
The conversion from
The conversion from
The conversion from
The expression for the source voltage is,
The general for the time-dependent expression of voltage is given by
From above and from equation (1) the value of angular frequency is given by
The general form for the polar form of the voltage is given by
From equation (1) and above, the polar form of the supply voltage is given by
The expression for the source current is given by
The general expression for the phasor form of the current is given by
From equation (3) and equation (1), the phasor form of the current is given by
The expression to calculate the inductive impedance of the inductor is given by
Substitute
The expression to calculate the capacitive reactance is given by,
Substitute
Mark the values and redraw the circuit for the phasor form.
The required diagram is shown in Figure 2
Apply KCL at node
Solve further as
Apply KCL at node
Substitute
Solve further as
From above and from equation (2), the time-dependent form of the node voltage
Substitute
Substitute
Solve further as
From above and from equation (2), the time-dependent form of the node voltage
Substitute
Conclusion:
Therefore, the value of voltage
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Chapter 4 Solutions
Principles and Applications of Electrical Engineering
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