Question

Difficulty: MediumParallel Circuits

In direct-current (DC) power distribution, parallel circuit configurations govern how voltage, current, and resistance interact under various operating states. Match each parallel circuit modification on the left with its corresponding electrical outcome on the right.

  • Adding an additional resistive branch in parallelDecreases total equivalent resistance and increases total source current without changing existing branch currents
  • Developing an open-circuit fault in one parallel branchDecreases total circuit current by the lost branch current while remaining branches continue operating normally
  • Developing a short-circuit fault across one branchBypasses all branch resistances, dropping total resistance near zero and triggering circuit protection
  • Increasing the main DC supply voltageIncreases the voltage drop and current flow proportionally across all connected branches simultaneously

Answer

Adding an additional resistive branch matches with decreasing total equivalent resistance and increasing total source current; an open-circuit fault matches with decreasing total circuit current while remaining branches operate normally; a short-circuit fault matches with dropping total resistance near zero and triggering circuit protection; and increasing main supply voltage matches with increasing the voltage drop and current across all branches simultaneously.
In parallel networks, the total equivalent resistance decreases when branches are added and increases when branches are removed. Full line voltage is maintained across every branch independently, meaning faults in one branch (such as an open) do not disrupt the operation of other branches, whereas a direct short bridges the common voltage bus and triggers circuit protection.

Step-by-Step Solution

1
Analyze the impact of adding a parallel branch
Additional current paths reduce equivalent resistance and raise total current without altering existing branch conditions.
Parallel branches operate independently across a constant voltage source.
2
Analyze an open circuit in a parallel branch
Only the opened branch stops conducting current; other branches retain full voltage and normal current.
An open in one parallel leg does not break the continuity of the remaining parallel paths.
3
Analyze a short circuit across a parallel network
A zero-ohm bridge shorts out all parallel loads and draws extreme current.
Current follows the path of least resistance, bypassing the loads entirely.
4
Analyze a change in primary DC source voltage
Every branch experiences the higher voltage and draws proportionally more current via Ohm's law (I=V/RI = V/R).
The full source voltage is applied directly across every individual branch in a parallel circuit.

Key Concept

Parallel Circuit Governing Rules and Fault Characteristics
Estimated Time:1m 15s
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