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How do series circuits differ from parallel circuits?

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In a series circuit, components are arranged in a single pathway, meaning the entire current flows through each component sequentially. Conversely, a parallel circuit contains branches that allow the current to divide, with only a portion flowing through each individual path.12

Key differences include:

Current: In series, the total current is equal throughout the circuit ( $I_{t o t a l} = I_{1} = I_{2} = I_{3}$ ). In parallel, the current divides among branches and may vary.12
Voltage: In series, the total voltage is the sum of the individual voltage drops across each component ( $V_{t o t a l} = V_{1} + V_{2} + \dots + V_{n}$ ). In parallel, the voltage across each branch remains the same.12
Resistance: In series, total resistance is the sum of individual resistances ( $R_{t o t a l} = R_{1} + R_{2} + \dots + R_{n}$ ). In parallel, adding more branches provides alternate paths for charge, resulting in an equivalent resistance that is lower than any individual resistor in the circuit.132