Which description best fits a circuit that contains both series and parallel paths?

Which description best fits a circuit that contains both series and parallel paths?

• A. It is a pure series circuit
• B. It is a pure parallel circuit
• C. It contains only one path
• D. It is a combination circuit

Answer: (D)

A circuit that has both series and parallel paths is a combination, or series-parallel, circuit. The idea is that some parts of the circuit carry the same current in a single path (series), while other parts split the current across multiple paths (parallel). Because of that mix, you don’t treat the whole thing as just one series chain or as all branches in parallel. Instead you break it into sections and simplify step by step. For analysis, identify the parallel group first and replace it with its equivalent resistance, since all branches share the same voltage. Then treat that equivalent resistance as a single component in series with the rest of the circuit, and repeat the process if there are more branches. For example, a resistor in series with a two-resistor parallel network becomes a single resistor equal to the series resistor plus the parallel group’s equivalent resistance. Not fitting scenarios help reinforce the idea: a pure series circuit has only one path for current with no branching; a pure parallel circuit has multiple paths but no series continuation beyond the branches; and a circuit with only one path has no branching either. Those descriptions don’t capture the presence of both series and parallel sections, which is what a combination circuit describes.

A circuit that has both series and parallel paths is a combination, or series-parallel, circuit. The idea is that some parts of the circuit carry the same current in a single path (series), while other parts split the current across multiple paths (parallel). Because of that mix, you don’t treat the whole thing as just one series chain or as all branches in parallel. Instead you break it into sections and simplify step by step.

For analysis, identify the parallel group first and replace it with its equivalent resistance, since all branches share the same voltage. Then treat that equivalent resistance as a single component in series with the rest of the circuit, and repeat the process if there are more branches. For example, a resistor in series with a two-resistor parallel network becomes a single resistor equal to the series resistor plus the parallel group’s equivalent resistance.

Not fitting scenarios help reinforce the idea: a pure series circuit has only one path for current with no branching; a pure parallel circuit has multiple paths but no series continuation beyond the branches; and a circuit with only one path has no branching either. Those descriptions don’t capture the presence of both series and parallel sections, which is what a combination circuit describes.