Concept explainers
Draw a suitable tree and use general loop analysis to find i10 in the circuit of (a) Fig. A1.13a by writing just one equation with i10 as the variable; (b) Fig. A1.13b by writing just two equations with i10 and i3 as the variables.
(a)
The value of the current
Answer to Problem 2P
The value of the current
Explanation of Solution
Given data:
The given diagram is shown in Figure 1.
Calculation:
Draw the tree diagram of the given network.
The required diagram is shown in Figure 2.
The current
The modified diagram is shown in Figure 3.
The conversion from
The conversion from
The conversion from
The conversion from
The conversion from
The conversion from
Write the KVL for the loop
The conversion from
The conversion from
Hence, the current
Conclusion:
Therefore, the value of the current
(b)
The value of the current
Answer to Problem 2P
The value of the current
Explanation of Solution
Given data:
The given diagram is shown in Figure 4.
Calculation:
Draw tree diagram for the given network.
The required diagram is shown in Figure 5.
Write the KVL for the loop
Write the KVL for the loop
Substitute
Conclusion:
Therefore, the value of the current
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