Understanding parallel resistive circuits: Which statement correctly describes a property of a parallel resistive network?

Introduction / Context:
Recognizing the defining characteristics of parallel circuits helps in predicting behavior such as current sharing, voltage distribution, and fault tolerance in power and signal networks.

Given Data / Assumptions:

• Purely resistive branches.
• Ideal connections without parasitic effects.

Concept / Approach:
In a parallel network, all branch elements share the same two nodes; therefore, the voltage across each branch is the same, and the total current is the sum of the branch currents. Multiple current paths exist between the nodes, which is the hallmark of a parallel connection.

Step-by-Step Reasoning:
Identify the defining feature: common node pair for all branches.Therefore, multiple current paths exist, and voltage is equal across branches.Select the option that states the existence of more than one current path.

Verification / Alternative check:
Apply Kirchhoff's Current Law at the node: I_total = Σ I_branch, confirming that currents split among several paths while node voltage remains common.

Why Other Options Are Wrong:

• Voltage divides between branches: false for parallel; voltage is common. Division of voltage applies to series circuits.
• Total branch power exceeds source power: violates energy conservation; source power equals sum of branch powers.
• Total conductance less than smallest branch conductance: opposite of reality; conductances add, so total conductance is greater than any single branch conductance.
• Equivalent resistance greater than largest branch resistance: for parallel it is always less than the smallest branch resistance.

Common Pitfalls:
Confusing series and parallel rules (voltage division vs. current division) and misinterpreting conductance behavior.

Final Answer:
there is more than one current path between two points