If two resistances of 10 Ω each are connected in parallel, then the equivalent resistance is-

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BDL MT Electrical 17 April 2022 Official Paper
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  1. 1 Ω
  2. 100 Ω
  3. 5 Ω
  4. 15 Ω

Answer (Detailed Solution Below)

Option 3 : 5 Ω
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ST 1: BDL MT Thermodynamics
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Detailed Solution

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Concept:

F2 J.K 1.6.20 Pallavi D5

Addition in Series \(R_{eq}\) = R1 + R2 + R3.

Addition in Parallel  \(\frac{1}{{{R_{eq}}}} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}} + \frac{1}{{{R_3}}}\).

Calculation:

Given that \(R_1\) , \(R_2\)= 10 \(\Omega\).

\(R_1\) and \(R_2\) are connected in parallel.

\(\frac{1}{{{R_{eq}}}} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}}\)

\(\frac{1}{{{R_{eq}}}} = \frac{1}{{{10}}} + \frac{1}{{{10}}}\)

\(R_{eq}\) = 5 \(\Omega\).

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