Concept explainers
Find Req and I in the circuit of Fig. 2.121.
Figure 2.121
Calculate the values of equivalent resistance
Answer to Problem 57P
The values of equivalent resistance
Explanation of Solution
Formula used:
Consider the following delta to wye conversion, when all branches in a delta consist same value.
Consider the expression for
Here,
Consider the expression for
Calculation:
Refer to Figure 2.121 in the textbook For Prob.2.57.
Step 1:
In Figure 2.121, as
Step 2:
In Figure 2.121, as
Step 3:
In Figure 2.121, convert the wye- sub network into delta connection.
Substitute
Since all branches values are same in a wye connection that is
Modify Figure 2.121 as shown in Figure 1.
Step 4:
In Figure 1, as
Modify Figure 1 as shown in Figure 2.
Step 5:
In Figure 2, as two
Step 6:
In Figure 2, as
Step 7:
In Figure 2, as
Modify Figure 2 as shown in Figure 3.
Step 8:
In Figure 3, as
Modify Figure 3 as shown in Figure 4.
Step 9:
In Figure 4, as
Step 10:
In Figure 4, as
Step 11:
In Figure 4, as
Modify Figure 4 as shown in Figure 5.
Step 12:
In Figure 5, as
Modify Figure 5 as shown in Figure 6.
Step 13:
In Figure 6, as
Consider the general expression to find current
Conclusion:
Thus, the values of equivalent resistance
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