Total resistance in circuit

Question

Answer 1

Step 1:

Observe the circuit.

The resistors , and form a network.

Convert the network into a Pi network.

Formula for the resistors when the network is changed into network.

Here , and .

From the above formula :

.

.

.

Step 2:

Redraw the circuit replacing network by a network.

The resistance and are in parallel.

The resultant parallel resistance is .

The resultant parallel resistance is .

Comments

Contd...

The resistance and are in parallel.

The resultant parallel resistance is .

The resultant parallel resistance is .

The resistance and are in series.

.

The resultant series resistance is .

Step 3:

Redraw the circuit replacing the resistors , , and by .

The resistance and are in parallel.

The resultant parallel resistance is .

The resultant parallel resistance is .

The Resistance and are in parallel.

The resultant parallel resistance is .

The resultant parallel resistance is .

The resistance and are in series.

.

The Resistance and are in parallel.

The resultant parallel resistance is .

.

Solution :

The total resistance between terminals A and B is .