
Series and parallel circuits are fundamental ways to connect electrical components. In a series circuit, components are connected end-to-end, so current flows through each component sequentially; a break anywhere stops the flow. In a parallel circuit, components are connected across the same two points, allowing current to split and flow through multiple paths; if one branch fails, others continue working. These arrangements affect voltage, current, and resistance distribution in circuits.

Series and parallel circuits are fundamental ways to connect electrical components. In a series circuit, components are connected end-to-end, so current flows through each component sequentially; a break anywhere stops the flow. In a parallel circuit, components are connected across the same two points, allowing current to split and flow through multiple paths; if one branch fails, others continue working. These arrangements affect voltage, current, and resistance distribution in circuits.
What is a series circuit?
A circuit where components are connected end-to-end so the same current flows through every component; voltages across components add up, and the total resistance is the sum of all resistances.
What is a parallel circuit?
A circuit where components are connected across the same two nodes, so each component has the full supply voltage; currents split among branches and the total resistance is lower than any individual branch (1/R_total = sum of 1/R_i).
How do you calculate total resistance in a series circuit?
Add the resistances: R_total = R1 + R2 + ...; the current through each component is the same and I = V / R_total.
How do you calculate total resistance in a parallel circuit?
Use the reciprocal sum: 1/R_total = 1/R1 + 1/R2 + ...; thus R_total = 1 / (sum of reciprocals); the voltage is the same across each branch and currents add up: I_total = I1 + I2 + ... .