Concept explainers
In the circuit shown in Fig. 2.87, determine Vx and the power absorbed by the 60-Ω resistor.
Figure 2.87
For Prob. 2.23.
Calculate the value of
Answer to Problem 23P
The value of
Explanation of Solution
Formula used:
Consider the expression for
Here,
Consider the expression for
Calculation:
Refer to Figure 2.87 in the textbook for prob. 2.23.
In Figure 2.87,
Simplify the equation as follows.
As
In Figure 2.87,
Simplify the equation as follows.
As
As
Simplify the equation as follows.
Redraw Figure 2.87 as shown in Figure 1.
Apply KCL at node
Simplify the equation as follows.
Consider current through
Substitute
From Figure 1, consider the expression for
Substitute
From Figure 1, the voltage across
Substitute
From voltage division rule, the voltage across
Substitute
Write the expression to find the power absorbed by
Substitute
Conclusion:
Thus, the value of
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