Resistors In Parallel

Key points

  • Parallel circuits are circuits in which the current is split into multiple paths.
  • The reciprocal of the equivalent resistance of resistors connected in parallel is equal to the sum of the reciprocal of each individual resistance.
  • Kirchhoff’s First Law states that the sum of currents going into a junction is equal to the sum of the currents flowing out of that junction.

Parallel Circuits are circuits in which the voltage remains the same across each component, but the current is split into different paths.

  • The reciprocal of the equivalent resistance of resistors connected in parallel is equal to the sum of the reciprocal of each individual resistance.
    • The total resistance is smaller than any one of the individual resistances being added.
    • The sum of the current through each individual component is equal to the overall current.
  • Kirchhoff’s Current Law (aka Kirchhoff’s First Law):
    • The sum of the individual currents going into a junction is equal to the sum of the individual currents flowing out of that junction.

Formula Booklet

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