Series versus parallel path count How does a parallel circuit differ from a series circuit with respect to the number of available paths for current flow?

Introduction / Context:
Distinguishing series and parallel arrangements is a cornerstone skill in circuit analysis and troubleshooting. Many real circuits mix both, so being able to identify how current flows is essential.

Given Data / Assumptions:

• Ideal wires and sources; steady DC conditions.
• Series means components share the same current; parallel means components share the same voltage.

Concept / Approach:
In a series connection, the current has exactly one path and is the same through each component. In a parallel connection, multiple independent paths exist between the same two nodes; the current splits among branches based on their impedances while the voltage across each branch remains the same.

Step-by-Step Solution:

Verification / Alternative check:
Apply KCL at a junction in a parallel network: the sum of branch currents equals the source current, confirming multiple paths.

Why Other Options Are Wrong:

• No path: describes an open circuit, not a parallel network.
• Fewer paths: relative wording is ambiguous and not a defining property.
• One path: defines a series circuit, not a parallel circuit.

Common Pitfalls:
Assuming current is the same in parallel branches; that is the series rule. In parallel, voltage is the same and current divides according to branch impedance.

Final Answer:
More than one path for current flow