Definition check — are parallel resistors connected between the same two nodes (points) in a circuit?

Introduction / Context:
Properly identifying parallel connections is foundational for applying current divider rules and computing equivalent resistance. This item verifies the formal definition of parallel components in circuit topology.

Given Data / Assumptions:

• Ideal lumped-element schematic with distinct nodes.
• No ambiguity in connection points or shared elements.

Concept / Approach:
Two (or more) components are in parallel if they share the same two nodes, meaning both terminals of each element connect to the same pair of nodes. As a consequence, the voltage across each parallel element is identical. This is distinct from series connection, where elements share exactly one node and the same current flows through each element in sequence.

Step-by-Step Solution:

Verification / Alternative check:
A quick check is to “collapse” wires in your mind: if every element’s terminals can be traced directly to the exact same two nodes without intermediate components, those elements are parallel.

Why Other Options Are Wrong:

• “False” would contradict the universally accepted definition used in textbooks and standards.

Common Pitfalls:
Confusing networks that have shared segments but are not strictly connected to the same two nodes; use a node-labeling approach to avoid mistakes.

Final Answer:
True