Series and Parallel Circuits

Series and Parallel Circuits

Series Circuits

  • In a series circuit, components are arranged end-to-end in a single loop.
  • This setup results in the same current flowing through all the components.
  • The total resistance (R total) in a series circuit is the sum of the resistances of each component.
  • If one component fails in a series circuit, it breaks the entire circuit and all components stop working.

Parallel Circuits

  • In a parallel circuit, components are arranged across separate branches, each one providing a separate path for the current to flow.
  • The voltages across each component are the same.
  • The sum of the currents flowing through each branch equals the total current supplied by the source.
  • The total resistance (R total) in a parallel circuit decreases as more components are added.
  • If one component fails in a parallel circuit, the circuit remains operational. The current simply bypasses the faulty component and continues to flow through the rest of the circuit.

Comparisons between Series and Parallel Circuits

  • Current remains constant in a series circuit, while it splits between branches in a parallel circuit.
  • The voltage divides among components in series, while it remains constant across each branch in a parallel circuit.
  • Adding components to a series circuit increases its resistance, but in a parallel circuit, it causes the total resistance to decrease.
  • Series circuits are good for installations where a uniform current is required, but parallel circuits are used for independent operation of components.

Calculations

  • To work out the total resistance in a series circuit, add all the resistances together.
  • To calculate the total resistance in a parallel circuit, use the formula 1/RTotal = 1/R1 + 1/R2 + 1/R3…and so forth.
  • The total power supplied in a circuit is equal to the sum of the power consumed by all individual components. Calculate this using the formula P = I x V where P is power, I is current and V is voltage.
  • Use Ohm’s law, V = I x R, to calculate values of current, voltage, and resistance in both series and parallel circuits.