Question

Find the equivalent resistance of it by step by step

Answer 1

Question -

Calculate the equivalent resistance between the points A and B

Solution -

Observe the given figure carefully ...

Here , let us assume AC to be the main branch .

Now , AD and DB are connected in series .

AD = 3 OHm

DB = 2 Ohm

So ,

We know that for connections in series -

Equivalent Resistance , R_Equivalent = R1 + R2 + ....

So , here -

Equivalent Resistance

=> 3Ohm + 2 Ohm

=> 5 Ohm

Similarly , AC and CB are connected in series .

AD = 3 OHm

DB = 2 Ohm

So ,

We know that for connections in series -

Equivalent Resistance , R_Equivalent = R1 + R2 + ....

So , here -

Equivalent Resistance

=> 3Ohm + 2 Ohm

=> 5 Ohm

Now , the figure becomes -

Refer to the second image ..

Now ,

The three resistances are in parallel .

For parallel connections ,

1 / R_ Eq = 1 / R1 + 1 / R2 + ......

So here ,

1 / R_eq = 1 / 5 + 1 / 5 + 1

=> 1 / R_eq = 2 / 5 + 1

=> 1 / R_eq = 7 / 5

=> R_eq = 5 / 7 Ohm

Hence the required equivalent resistance is (5/7) Ohm ....