Difficulty: Easy
Correct Answer: True
Explanation:
Introduction / Context:
Recognizing series vs. parallel behaviors helps you quickly analyze networks. This question focuses on the current-divider role of a parallel connection and how current distributes based on branch impedances.
Given Data / Assumptions:
Concept / Approach:
In parallel, all branches share the same voltage. Currents in the branches depend on their individual resistances or impedances: Ik = V / Rk for resistors. The total source current is the sum of branch currents, so the parallel network divides the incoming current among the available paths according to admittance ratios. This is precisely the definition and practical utility of a current divider.
Step-by-Step Solution:
Verification / Alternative check:
Measure with an ammeter in each branch and compare with calculated divider ratios; experimental values match predictions within component tolerances.
Why Other Options Are Wrong:
Common Pitfalls:
Swapping voltage and current divider formulas; remember: series → voltage divider, parallel → current divider.
Final Answer:
True
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