Current Electricity

Physics · Class 12

Simulation · Physics · Class 12

Walking round a loop with Kirchhoff

From the lesson Kirchhoff's rules in Current Electricity. Change the values and watch what happens.

Walking round a loop with KirchhoffPhysics · Class 12

The idea behind it

NCERT § "Kirchhoff's Rules"

  • Junction rule: the total current flowing into any junction equals the total current flowing out of it. It follows from conservation of charge in steady state.
  • Loop rule: going around any closed loop, the changes in potential add up algebraically to zero. It follows from the electrostatic force being conservative (energy conservation).
  • Assign a current with an assumed direction to each branch; if the solution gives a negative value, the actual current flows the other way, and the magnitude is still correct.
  • Going through a resistor in the direction of the assumed current, the potential falls by IR; going against it, it rises by IR.
  • Going through a cell from its negative to positive terminal, the potential rises by ε; from positive to negative, it falls by ε.
  • Use the junction rule first to reduce the number of unknown currents, then write as many independent loop equations as are needed.
  • Symmetry in a network (equal potentials at symmetric points) can remove resistors that carry no current and simplify the work.