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Calculate the equivalent resistance when two armature resistances are connected in parallel of values 6 Ω, 3 Ω.

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Calculate the equivalent resistance when two armature resistances are connected in parallel of values 6 Ω, 3 Ω.

(a) 3 Ω

(b) 2 Ω

(c) 4 Ω

(d) 7 Ω

The question was posed to me in quiz.

The question is from Dynamic Braking of DC Shunt Motors in chapter Braking of DC Motors & Induction Motors of Electric Drives

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Correct option is (b) 2 Ω

The explanation: When two resistances are connected in parallel their equivalent resistance is equal to the harmonic mean of the individual resistances. Req=R1.R2÷(R1+R2)=6×3÷(6+3)=2 Ω.

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