Understanding Series and Parallel Circuits

May 19, 2025

Electrical Circuits: Series and Parallel

Types of Electrical Circuits

  • Series Circuit:

    • Components are connected end to end, forming a loop.
    • Current flows through one path.
    • Examples include a simple loop with a cell and two bulbs.
  • Parallel Circuit:

    • Components are connected side by side.
    • Current divides into multiple paths.
    • Examples include a circuit with a cell and two bulbs, connected in parallel.

Key Concepts

Voltage

  • Measure of electrical push from the battery.
  • Energy per packet of electrons (measured in joules) referred to as coulombs.
  • Voltmeter:
    • Measures voltage across components.
    • Always connected in parallel.

Current

  • Flow of negatively charged electrons.
  • Analogous to water flow in pipes.
  • Measured in coulombs per second or amps.
  • Ammeter:
    • Measures current in a circuit.
    • Must be connected in series.

Resistance

  • Opposition to current flow in a circuit.
  • Measured in ohms (Ω).
  • Higher resistance = more difficult current flow.

Circuit Rules and Calculations

Series Circuits

  • Voltage from power supply is shared between components.
  • Same current flows through each component.
  • Total resistance = sum of individual resistances.

Parallel Circuits

  • Voltage is the same across each component.
  • Total current = sum of currents through each component.
  • Total resistance is less than the smallest individual resistance.

Practical Examples

  • Voltage Calculation:

    • Each cell provides 1.5 volts.
    • For four cells, calculate total potential difference.
  • Current Calculation:

    • Current through lamp = 0.20 amps.
    • Current through resistor = 0.10 amp.
    • Calculate the reading on the ammeter.

Calculating Resistance in Parallel

  • Formula for two resistors in parallel:
    • For example, two 3 ohm resistors:
      • Total resistance = 1.5 ohms.
    • For example, resistors of 10 ohms and 5 ohms:
      • Total resistance = 3.33 ohms.

Summary:

  • Understand the differences between series and parallel circuits.
  • Learn to calculate resistance using rules and formulas.