Concept explainers
Employ Δ–Y conversion techniques as appropriate to determine Rin as labeled in Fig. 5.101.
FIGURE 5.101
Employ Δ–Y conversion techniques as appropriate to determine
Answer to Problem 62E
The value of
Explanation of Solution
Formula used:
The expression for the equivalent resistor when resistors are connected in series is as follows:
Here,
The expression for the equivalent resistor when resistors are connected in parallel is as follows:
Here,
The
Refer to the redrawn Figure 1:
The expression for the conversion of
Here,
The expression for the conversion of
Calculation:
The redrawn circuit diagram is given in Figure 2:
Refer to the redrawn Figure 2:
Substitute
The simplified circuit diagram is given in Figure 3.
Refer to the redrawn Figure 3:
Substitute
Rearrange the equation for
The simplified circuit diagram is given in Figure 4.
Refer to the redrawn Figure 4:
The
Substitute
Substitute
Substitute
The simplified circuit diagram is given in Figure 5:
Refer to the redrawn Figure 5:
Substitute
Rearrange the equation for
Substitute
Rearrange the equation for
The simplified circuit diagram is given in Figure 6.
Refer to the redrawn Figure 6:
Substitute
Substitute
Substitute
The simplified circuit diagram is given in Figure 7.
Refer to the redrawn Figure 7:
Substitute
The simplified circuit diagram is given in Figure 8:
Refer to the redrawn Figure 8:
The
Substitute
Substitute
Substitute
The simplified circuit diagram is given in Figure 9:
Refer to the redrawn Figure 9:
Substitute
Rearrange the equation for
Substitute
Rearrange the equation for
The simplified circuit diagram is given in Figure 10.
Refer to the redrawn Figure 10:
Substitute
The simplified circuit diagram is given in Figure 11.
Refer to the redrawn Figure 11:
Substitute
Rearrange the equation for
The simplified circuit diagram is given in Figure 12.
Conclusion:
Thus, the value of
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