Using supeerposition, determine the current through the inductance XL for the network of Fig. 19.105.
The current flowing through the inductance
Answer to Problem 1P
The current through the inductor is
Explanation of Solution
Given:
The given circuit is shown in Figure 1.
Calculation:
To apply superposition theorem, first consider the effect of voltage source
The required diagram is shown in Figure 2.
Let the voltage at node 1 is
The current through the inductor is given by
Substitute
Now consider the effect of source voltage
The required diagram is shown in Figure 3.
Apply the KCL at node 2.
The current through the inductor is given by,
Therefore, according to super position theorem the current through the inductor is given by
Substitute
Conclusion:
Therefore, the current through the inductor is
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Chapter 19 Solutions
Introductory Circuit Analysis (13th Edition)
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