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⚛️ Physics  ·  Current Electricity  ·  NEET & JEE

In a network of resistors, we can use superposition. Current due to source E<sub>1</sub> alone (E<sub>2</sub> removed/short-circuited) in a branch is I<sub>1</sub>. Due to E<sub>2</sub> alone it is I<sub>2</sub>. Actual current:

Answer: I 1 + I 2 (algebraically, respecting direction).

  • A I<sub>1</sub> + I<sub>2</sub> usually, regardless of the direction each current actually flows
  • B I<sub>1</sub> + I<sub>2</sub> (algebraically, respecting direction)
  • C I<sub>1</sub> x I<sub>2</sub>, multiplying the two branch currents together
  • D max(I<sub>1</sub>, I<sub>2</sub>), taking mainly whichever current is larger in magnitude

Correct answer: B. I<sub>1</sub> + I<sub>2</sub> (algebraically, respecting direction)

Explanation: Superposition theorem: actual current = algebraic sum of individual currents. Directions matter. Add I<sub>1</sub> and I<sub>2</sub> with proper signs.

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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