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Question

Question: In the figure shown, the total resistance between A and B is <img src="https://cdn.pureessence.tech...

In the figure shown, the total resistance between A and B is

A

12Ω12\Omega

B

4Ω4\Omega

C

6Ω6\Omega

D

8Ω8\Omega

Answer

8Ω8\Omega

Explanation

Solution

The last two resistances are out of circuit. Now 8Ω8\Omega is in parallel with(1+1+4+1+1)Ω(1 + 1 + 4 + 1 + 1)\Omega.

R=8Ω8Ω=82=4Ω\therefore R = 8\Omega||8\Omega = \frac{8}{2} = 4\OmegaRAB=4+2+2=8ΩR_{AB} = 4 + 2 + 2 = 8\Omega