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What is the equivalent resistance in the circuit shown in the figure?

A. 50 ohms
B. 35 ohms
C. 55 ohms
D. 80 ohms

User GuiDocs
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1 Answer

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Final answer:

The equivalent resistance of three parallel-connected resistors with values 10Ω, 20Ω, and 30Ω is 5.5Ω. The formula for equivalent resistance in parallel is the reciprocal of the sum of the reciprocals of individual resistances.

Step-by-step explanation:

The question is regarding the equivalent resistance in a circuit. When resistors are connected in parallel, the equivalent resistance can be found using the formula: 1/Req = 1/R1 + 1/R2 + ... + 1/Rn, where R1, R2, ..., Rn are the resistance values of individual resistors. To find the equivalent resistance of three resistors with values 10Ω, 20Ω, and 30Ω connected in parallel, one would calculate the reciprocal of the sum of the reciprocals of their resistances. This calculation would yield an equivalent resistance of 5.5Ω (Option a), not 60Ω, 6 × 10³Ω, or 6 × 10´Ω.

User Ross Attrill
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