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⚛️ Physics  ·  Current Electricity  ·  NEET & JEE

Kirchhoff's law is applied to a complex network. The minimum number of equations needed for a network with n junctions and b branches:

Answer: n-1 current equations, b-n+1 voltage equations.

  • A n-1 current equations, b-n+1 voltage equations
  • B n current equations, b voltage equations
  • C b equations total
  • D n equations total

Correct answer: A. n-1 current equations, b-n+1 voltage equations

Explanation: For a network: (n-1) independent KCL equations and (b-n+1) independent KVL loop equations = b total equations for b unknowns.

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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