Three resistors of 2 ohms, 3 ohms, and 6 ohms are connected in parallel. What is the equivalent resistance of the combination?

A. 1 , — For resistors in parallel, the reciprocal of the equivalent resistance is the sum of the reciprocals of the individual resistances. Calculating this sum gives the inverse of the total resistance.

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$Three resistors of R_{1} = 2 Ω, R_{2} = 3 Ω, and R_{3} = 6 Ω are connected in parallel. What is the equivalent resistance R_{e q} of the combination?$

A. $1 Ω$
B. $2 Ω$
C. $3 Ω$
D. $0.5 Ω$

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Correct answer: A — $1 Ω$

Solution

1/ R_{e q} = 1/2 + 1/3 + 1/6 = (3 + 2 + 1) /6 = 6/6 = 1 . Thus, R_{e q} = 1 Ω .

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Three resistors of R1​=2Ω, R2​=3Ω, and R3​=6Ω are connected in parallel. What is the equivalent resistance Req​ of the combination?

Solution

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More Current Electricity practice questions

$Three resistors of R_{1} = 2 Ω, R_{2} = 3 Ω, and R_{3} = 6 Ω are connected in parallel. What is the equivalent resistance R_{e q} of the combination?$