Question

Seven 1 Ω resistance are connected as shown in the figure. Resistance of the conducting wires is negligible. Find the effective resistance between A and B.

Answer 1

Answer:

Resistance between A and B is 10/7 ohm

Answer 2

Answer:

The equivalent/effective resistance between A and B is 2/5 Ω.

Explanation:

Equivalent resistance =

★ 1/RP = 1/R1 + 1/R2

= 1/1 + 1/1

= 2/1

RP = 1/2 Ω

Similarly, other 1 Ω resistors in parallel can be replaced with 1/2 Ω resistors.

★ RS = 1/2 + 1 + 1/2

= 1/2 + 2/2 + 1/2

= 4/2

= 2 Ω

★ 1/RP = 1/2 + 1/(1/2)

= 1/2 + 2/1

= 1/2 + 4/2

= 5/2

RP = 2/5 Ω

Therefore, the equivalent/effective resistance between A and B is 2/5 Ω.