
Concept explainers
(a)
Write the nodal equation of the circuit.
(a)

Answer to Problem 45E
The nodal equation of the circuit at node voltage
Explanation of Solution
Calculation:
The redrawn circuit is shown in Figure 1.
Here,
The expression for the current across the inductor is,
Here,
The expression for the current across capacitor is,
Here,
The expression for the nodal analysis at node
Rearrange equation (3),
The voltage at node voltage
Substitute
The expression for the nodal analysis at node voltage
The node voltage across resistance
Rearrange equation (7),
Conclusion:
Thus, the nodal equation of the circuit at node voltage
(b)
Write the mesh equation of the circuit.
(b)

Answer to Problem 45E
The mesh equation of the circuit in loop
Explanation of Solution
Calculation:
The redrawn circuit is shown in Figure 2 as follows,
Refer to the Figure 2,
The voltage at node voltage
The expression for mesh equation in loop
Here,
Substitute
The expression for mesh equation in loop
Substitute
The expression for mesh equation in loop
Conclusion:
Thus, the mesh equation of the circuit in loop
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