Find RAB in the circuit in Fig. P2.61.Figure P2.61
Find RAB in the circuit in Fig. P2.61.
Figure P2.61
Step-by-Step Solution
Consider the circuit shown in Figure P2.55 in the text book.
Starting from opposite end of network terminals the circuit is reduced.
Calculate the equivalent resistance 
of two resistors connected in series by using the formula 
.
Substitute 
for 
, 
for 
, 
for 
in the equation and solve for 
.
Now the resistor 
is in parallel to 
resistance.
Calculate the equivalent resistance 
of resistors connected in parallel by using the formula 
.
Substitute 
for 
, 
for 
, 
for 
in the equation and solve for 
.
Now the circuit is reduced as shown in Figure 1 as follows:
Now from Figure 1 the resistors 
and 
are in series.
Calculate the equivalent resistance 
for the resistors connected in series by using the formula 
.
Substitute 
for 
, 
for 
, 
for 
in the equation and solve for 
.
The resistance 
is in parallel to the 
resistor.
The resistance 
is in parallel to the 
resistor.
Calculate the equivalent resistance 
of resistors connected in parallel by using the formula 
.
Substitute 
for 
, 
for 
, 
for 
in the equation and solve for 
.
The circuit is reduced as shown in Figure 2.
Calculate the equivalent resistance 
for the resistors connected in series by using the formula 
.
Substitute 
for 
, 
for 
, 
for 
in the equation and solve for 
.
Therefore, the value of equivalent resistance 
is 
.
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