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.