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NEET 2021
Exam
NEET
Year
2021
Subject
Physics
Chapter
Current Electricity

NEET 2021 · Physics · Current Electricity

The effective resistance of a parallel connection that consists of...

The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25Ω0 . 25Ω. What will be the effective resistance if they are connected in series?The effective resistance of a parallel connection that consists of four wires of equal length, equal area ofThe effective resistance of a parallel connection that consists of four wires of equal length, equal area of

Options

  1. A0.25Ω0 . 25Ω
  2. B0.5Ω0 . 5Ω
  3. C4Ω4Ω
  4. D1Ω1Ω

Correct answer

C. 4Ω4Ω

Step-by-step solution

Let the resistance of each wire be RR

The effective resistance of a parallel connection that consists of four wires of equal length, equal area of

Effective resistance in parallel combination,

RP=R4{R}_{P} = \dfrac{R}{4}

⇒R=4RP⇒ R = 4{R}_{P}

⇒R=4×0.25=1Ω⇒ R = 4 \times 0 . 25 = 1Ω

The effective resistance of a parallel connection that consists of four wires of equal length, equal area of

Effective resistance is series combination,

RS=4R{R}_{S} = 4R

⇒Rs=4×1=4Ω⇒ {R}_{s} = 4 \times 1 = 4Ω

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