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Three wire of resistance 1 ohm 2 ohm and 3 ohm respectively are connected in parallel. The equivalent resistance of the circuit is
Question

Three wire of resistance 1 ohm 2 ohm and 3 ohm respectively are connected in parallel. The equivalent resistance of the circuit is

A.

6/11 ohm

B.

11/6 ohm

C.

6 ohm

D.

1/6 ohm

Correct option is A


Correct Answer: 6/11 Ω
Explanation
Three resistors of 1 Ω, 2 Ω, and 3 Ω are connected in parallel.
For resistors in parallel, the equivalent resistance Req is given by:
1 / Req = 1/R₁ + 1/R₂ + 1/R₃
Substitute the given values:
1 / Req = 1/1 + 1/2 + 1/3
Take LCM of 1, 2, and 3 = 6
1 / Req = 6/6 + 3/6 + 2/6 1 / Req = 11/6
So,
Req = 6/11 Ω

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