Concept explainers
For each of the circuits in Fig. 2.40, find the current I and compute the power absorbed by the resistor.
FIGURE 2.40
Find the current and power absorbed by resistor for each circuit in the given Figures.
Answer to Problem 54E
The current flowing in the circuit in Figure 1 is
The power absorbed by the resistor in Figure 1 is
The current flowing in the circuit in Figure 2 is
The power absorbed by the resistor in Figure 2 is
The current flowing in the circuit in Figure 3 is
The power absorbed by the resistor in Figure 3 is
The current flowing in the circuit in Figure 4 is
The power absorbed by the resistor in Figure 4 is
Explanation of Solution
Formula used:
The expression for current is as follows.
Here,
The expression for power absorbed by the resistor is as follows.
Here,
Calculation:
Refer to FIGURE 2.40(a) in the textbook.
The circuit diagram is redrawn as shown in Figure 1.
Substitute
Substitute
Refer to FIGURE 2.40(b) in the textbook.
The circuit diagram is redrawn as shown in Figure 2.
Refer to redrawn Figure 2
Substitute
Substitute
Refer to FIGURE 2.40(c) in the textbook.
The circuit diagram is redrawn as shown in Figure 3.
Refer to redrawn Figure 3.
Substitute
Substitute
Refer to FIGURE 2.40(d) in the textbook.
The circuit diagram is redrawn as shown in Figure 4.
Refer to redrawn Figure 4.
Substitute
Substitute
Conclusion:
Thus, The current flowing in the circuit in Figure 1 is
The power absorbed by the resistor in Figure 1 is
The current flowing in the circuit in Figure 2 is
The power absorbed by the resistor in Figure 2 is
The current flowing in the circuit in Figure 3 is
The power absorbed by the resistor in Figure 3 is
The current flowing in the circuit in Figure 4 is
The power absorbed by the resistor in Figure 4 is
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