(1)
Step 1:
Observe the circuit.
The resistors ,
and
are in parallel.
Resultant resistance is .
Substitute in above expression.
Resultant resistance is .
Observe the circuit, the resistors and
.
Resultant resistance is
The resistors and
are connected in series.
Equivalent resistance is .
.
Step 2:
Redraw the circuit replacing the resistor ,
,
,
and
by
.
Observe the circuit :
The resistor is in parallel with
.
Therefore, resultant resistance is .
.
The resultant is in series with the resistance .
Therefore, total resistance of the circuit is .
.
Total resistance of the circuit is .
Solution :
Total resistance of the circuit is .