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Zorluk: KolayParallel Circuits

A technician is troubleshooting a direct-current parallel lighting system. Match each circuit modification on the left with its direct electrical effect on the system on the right.

  • Adding an additional parallel branch loadDecreases total equivalent resistance and increases total current drawn from the source
  • Disconnecting one existing branch loadIncreases total equivalent resistance while other branches continue to operate normally
  • Increasing the resistance of a single branchReduces current flow through that specific branch without altering voltage across the others
  • Creating a short circuit across any one branchBypasses all branches and causes total circuit current to surge dangerously

Cevap

The circuit modifications match their electrical effects as follows: adding an additional branch decreases total resistance and increases total supply current; disconnecting one branch increases total resistance while allowing remaining branches to operate normally; increasing resistance of a single branch reduces current only through that branch; creating a short circuit across one branch bypasses all branches and causes a dangerous surge in total current.
Each pair reflects core parallel circuit behavior: adding branches lowers equivalent resistance and raises total current; disconnecting a branch raises equivalent resistance without interrupting other branches; changing one branch resistance alters only that branch's current; and shorting across one branch shorts the entire common bus.

Adım Adım Çözüm

1
Determine the impact of adding a parallel branch
Total equivalent resistance drops and total supply current rises (Itotal=I1+I2+⋯+InI_{\text{total}} = I_1 + I_2 + \dots + I_n).
Adding a parallel branch creates an extra pathway for current flow.
2
Determine the impact of opening or disconnecting an active branch
Total equivalent resistance increases, but unaffected branches stay powered.
Removing a branch eliminates a current path while full source voltage remains across remaining branches.
3
Determine the impact of increasing a single branch's resistance
Current through that specific branch decreases (I=V/RI = V/R) without changing the other branches.
Branch voltages in a parallel network are independent and equal to source voltage.
4
Determine the impact of short-circuiting one branch
The entire power source is shorted, bypassing all parallel loads.
All parallel branches connect directly to the same common positive and negative supply nodes.

Anahtar Kavram

Parallel Circuit Branch Behavior and Independence
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