Total resistance in circuit

Question

Answer 1

Step 1:

Observe the circuit.

The resistors , and looks like network.

For convenience, change into equivalent network which makes us to find the total resistance of the circuit.

From the circuit .

Redraw the circuit.

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

Here , and .

From the above formulae,

.

.

.

Comments

Continued..

Step 2:

comes parallel with .

Therefore, resultant resistance is .

.

Above resultant comes in series with .

Therefore resultant is .

Then the equivalent circuit becomes,

Observe the circuit, comes in parallel with .

Thus resultant resistance will be

Above resistance is in parallel with .

Thus resultant resistance will be

Total resistance of the circuit between and is .

Solution :

Total resistance of the circuit between and is .