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⚛️ Physics  ·  Current Electricity  ·  NEET & JEE

Two wires of the same material have lengths 2 m and 1 m and cross-sectional areas 1 mm<sup>2</sup> and 2 mm<sup>2</sup>, respectively. They are connected in parallel. What is the ratio of currents through the first and second wires?

Answer: 1:4.

  • A 1:2
  • B 1:4
  • C 2:1
  • D 4:1

Correct answer: B. 1:4

Explanation: Resistance is proportional to L/A. Thus R<sub>1</sub>:R<sub>2</sub> = (2/1):(1/2) = 4:1. In parallel the voltage is the same, so I<sub>1</sub>:I<sub>2</sub> = R<sub>2</sub>:R<sub>1</sub> = 1:4.

SeriesbatteryR1R2I (same in R1, R2)ParallelbatteryR1R2I1I2

In series, the same current flows through both resistors; in parallel, the current splits between branches and the voltage across each resistor is the same.

Concept context

Ohm's law, resistors, Kirchhoff's laws, Wheatstone bridge, and cells.

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