Difficulty: Easy
Correct Answer: current
Explanation:
Introduction / Context:
Just as series networks are used for voltage division, parallel networks are the standard approach for splitting current among multiple branches. Understanding this guides design of sensing shunts, bias networks, and load sharing.
Given Data / Assumptions:
Concept / Approach:
In a parallel circuit, the voltage across each branch is identical, but currents split according to branch conductances. The current divider rule describes the portion of total current in any branch.
Step-by-Step Solution (Current Divider Rule):
For two branches with resistances R1 and R2 at source voltage V:I_total = V * (1/R1 + 1/R2).Branch currents: I1 = V / R1 and I2 = V / R2.Equivalently: I1 = I_total * (R2 / (R1 + R2)) for two-branch case.
Verification / Alternative check:
Measure currents with an ammeter in each branch; their sum equals source current by Kirchhoff's Current Law, confirming current division.
Why Other Options Are Wrong:
Common Pitfalls:
Assuming voltage divides in parallel or misapplying the current divider formula by swapping resistances in the ratio.
Final Answer:
current
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