Total resistance in circuit

Question

Answer 1

(1)

Step 1:

Redraw the circuit by naming resistors.

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 . 

.

Comments

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 .