The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25 Ω - Physics MCQ NEET 2021 2026 | ExamTest.live

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The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25 Ω . What will be the effective resistance if they are connected in series?

Solution & Step-by-step Explanation

Let the resistance of each wire be R .When four wires are connected in parallel: R_{p} = \frac{R}{4} Given R_{p} = 0.25 Ω : \frac{R}{4} = 0.25 \Rightarrow R = 1 Ω When these four wires are connected in series: R_{s} = R + R + R + R = 4 R R_{s} = 4 \times 1 = 4 Ω

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The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25 Ω . What will be the effective resistance if they are connected in series?

1 Ω

4 Ω

0.25 Ω

0.5 Ω

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