Parallel circuits as dividers: Besides being widely used in power distribution, a parallel circuit is also used as a practical divider for which electrical quantity?

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:

  • Resistive branches at steady state.
  • Single source feeding multiple parallel branches.


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:

  • Voltage: divided by series networks, not parallel.
  • Conductance: it adds in parallel; we do not use a parallel circuit as a “conductance divider.”
  • Power: total power is the sum of branch powers; “dividing power” is not a standard design objective.
  • Frequency: passive DC resistive networks do not divide frequency.


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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