Question

Equivalent resistance between a and b is

Answer 1

Given :

▪ A circuit of six identical resistors of resistance R has been provided.

To Find :

▪ Eq. resistance b/w A and B

Concept :

✴ In this type of complex circuit questions, First step is to simplify this complex circuit.

✴ We can easily simplify any complex circuit by applying potential difference method.

✴ See, the attachment for better understanding.

Calculation :

↗ Eq. resistance of upper part :

→ R_1 = R/2 + R

→ R_1 = R+2R/2

→ R_1 = 3R/2 Ω

↗ Eq. resistance of lower part :

→ R_2 = R + R/2

→ R_2 = 2R+R/2

→ R_2 = 3R/2 Ω

↗ Net Eq. resistance b/w A and B :

→ 1/Req = 1/R_1 + 1/R_2

→ 1/R_eq = 2/3R + 2/3R

→ 1/R_eq = 4/3R

→ Req = 3R/4 Ω

⚽ Option - A ✔