Inspect
Review the problem, diagram, and evidence.
Each branch looked safe. The supply still tripped the instant the second load was connected.
Inspect, commit, prove, fix, and sign off.
Follow the investigation process used in the field — in five guided steps.
Review the problem, diagram, and evidence.
Choose your hypothesis.
Run calculations and test your idea.
Select and validate a safe correction.
See the full debrief and key takeaways.
A 12 V supply with 3 A over-current protection powers a 6 Ω load normally at 2 A. A 3 Ω load is then added in parallel. The technician expects the original 2 A source current to split between the two branches, but the protection trips. Determine the branch currents, the current demanded from the source, and why the technician's current-division model fails.
Find the root cause, confirm the fix, and see how this connects to the exam.
The added branch reduced equivalent resistance to 2 Ω, so the 12 V network demanded 6 A from a source protected at 3 A.
Current division does not mean total source current stays fixed when a voltage source drives a parallel network.
Use the common branch voltage to calculate each branch current, then sum branch currents to obtain the source-current demand.
Adding a resistor in parallel can increase the total current demanded from a voltage source because the equivalent resistance decreases while the source voltage remains the same. Here, 6 Ω in parallel with 3 Ω equals 2 Ω, so the 12 V network demands 6 A.
For parallel loads driven by a voltage source, each branch current is determined by the common branch voltage and that branch's resistance. Total source current is the sum of branch currents, so adding a parallel branch can increase source current.
For a fixed-voltage source, adding a parallel resistance lowers equivalent resistance and therefore increases the total current demanded from the source.
The 6 Ω branch requires 2 A and the 3 Ω branch requires 4 A, so the total source-current demand is 6 A.
Current division describes how an existing total current distributes among parallel paths. With a voltage source, adding another branch changes the network equivalent resistance, so the total source current can change.
Each case is designed to build the judgment, analysis, and confidence you need for engineering exams — and beyond.
Basic subject familiarity helps, but every case is designed to teach through the investigation itself.
Most cases are designed for a focused 5–10 minute investigation.
Each case is mapped to a verified exam, subject, topic, and misconception before publication.
The sealed debrief unlocks with the root cause, corrected reasoning, fix, and takeaway.