Question

Difficulty: MediumCircuit Faults and Troubleshooting

An electronics technician performs diagnostic checks on various malfunctioning direct-current (DC) systems. Match each electrical troubleshooting symptom or meter reading on the left with its most probable circuit fault condition on the right.

  • An ohmmeter test across a de-energized relay coil rated at 250 Ω250\,\Omega measures 0.0 Ω0.0\,\Omega.Short-circuited (shorted) coil windings
  • A voltmeter measures full source voltage (12 V12\text{ V}) directly across the terminals of a closed switch in an active, non-functioning circuit.Open circuit caused by failed or pitted switch contacts
  • A circuit displays normal source voltage under no-load conditions, but voltage at the load drops drastically below specification when operating under full current draw.High-resistance connection or corroded terminal
  • An ohmmeter connected between an isolated appliance's ungrounded positive power lead and its metallic chassis reads 0.0 Ω0.0\,\Omega.Direct ground fault (short to chassis ground)

Answer

The symptom of 0.0 ohms across a 250-ohm coil matches short-circuited coil windings; full source voltage measured across closed switch terminals matches an open circuit from failed switch contacts; voltage dropping severely under load matches a high-resistance or corroded connection; and 0.0 ohms between the ungrounded positive lead and metallic chassis matches a direct ground fault.
Each diagnostic reading correlates directly to fundamental circuit failure modes: a shorted coil eliminates component resistance (0 Ω0\,\Omega); an open switch drops the entire source voltage (12 V12\text{ V}) because current cannot bridge the open gap; a high-resistance joint creates excessive voltage drop only when current flows (V=I×RV = I \times R); and continuity between a 'hot' power lead and the chassis represents a short to ground.

Step-by-Step Solution

1
Analyze the relay coil resistance reading of 0.0 Ω0.0\,\Omega.
Identifies an internal short circuit.
Inductive components such as relay coils are designed with specific continuous wire resistance. A reading of 0.0 Ω0.0\,\Omega means the insulation between windings broke down, creating a direct short.
2
Analyze the closed switch voltage reading showing full source voltage.
Identifies an open switch fault.
According to Kirchhoff's Voltage Law, an open point in a series circuit drops the entire source voltage because it creates infinite resistance and blocks current, whereas a properly closed switch drops 0 V0\text{ V}.
3
Analyze the loaded vs. unloaded voltage drop behavior.
Identifies a high-resistance connection fault.
When no current flows (I=0I = 0), no voltage is dropped across bad connections (V=0 VV = 0\text{ V}). When load current flows, parasitic resistance drops voltage in proportion to current, starving the load.
4
Analyze the zero-ohm reading between the positive supply rail and metal chassis.
Identifies a direct chassis ground fault.
Conductors intended to carry current must remain insulated from the metal chassis. A 0.0 Ω0.0\,\Omega reading confirms an unintended low-resistance bridge to the chassis frame.

Key Concept

Circuit fault diagnosis using voltage drop and resistance characteristics for opens, shorts, grounds, and high-resistance faults.
Estimated Time:1m 30s
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