Difficulty: Easy
Correct Answer: The diode is open-circuited
Explanation:
Introduction / Context:In a simple series circuit (source → diode → resistor → return), the load resistor drop equals I * R. If the voltmeter across the resistor reads 0 V under an applied forward voltage, then the series current must be zero. The diagnostic task is to identify which fault is consistent with zero current and zero resistor drop.
Given Data / Assumptions:
Concept / Approach:Ohm's law requires a nonzero voltage drop across the resistor if current flows. Therefore, V_R = 0 implies I = 0 A. In a series path, I = 0 indicates an open circuit somewhere in the chain. If the diode were shorted, the current would be approximately 9 V / 1 kΩ = 9 mA and the resistor drop would be about 9 V, not 0 V. Hence, a shorted diode is inconsistent with the observation. An open diode, however, completely stops current, producing zero resistor drop and leaving nearly all the source voltage across the open device.
Step-by-Step Solution:
Observation: V_R = 0 ⇒ I = V_R / R = 0 / 1000 = 0 A.Series path with I = 0 ⇒ an open exists.Open diode is consistent; shorted diode is inconsistent (would give V_R ≈ 9 V).Therefore, most likely fault: diode is open-circuited.Verification / Alternative check:
Meter the diode with a DMM: forward junction should show ~0.6–0.7 V; infinite both ways indicates open.Why Other Options Are Wrong:
Short-circuited diode ⇒ large current and ~9 V across R (not 0 V).Open 1 kΩ resistor would normally present the entire 9 V across the open component, not 0 V across the resistor element itself in a typical measurement scenario.'Either short or open' is too non-diagnostic given the zero-volt reading.Common Pitfalls:
Assuming a shorted diode implies zero volts everywhere; forgetting that in series circuits a short increases current and resistor drop, not decreases it.Final Answer:
The diode is open-circuited
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