Incandescent lamp resistance behavior: Which statement best describes the resistance characteristics of a typical incandescent filament lamp?
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Acold resistance
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Bhot resistance
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Cballast resistance
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Dboth cold and hot resistance
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Ezero resistance at turn-on
Answer
Correct Answer: both cold and hot resistance
Explanation
Introduction / Context:Filament lamps are strongly temperature-dependent resistors. Understanding their cold versus hot resistance helps in surge analysis, dimmer design, and failure diagnosis (inrush currents at switch-on can be many times the steady current).
Given Data / Assumptions:
- Tungsten filament with positive temperature coefficient of resistance.
- Supply is within rated voltage so filament reaches normal operating temperature.
- No series ballast assumed unless specified.
Concept / Approach:
At room temperature (cold), filament resistance is low. When energized, current heats the filament to thousands of kelvin; resistance increases several-fold (hot resistance). Therefore, the device exhibits both a cold resistance (initial) and a hot resistance (operating), and these values are markedly different.
Step-by-Step Solution:
Initial switch-on: low cold resistance allows high inrush current.Self-heating raises temperature → resistance increases (positive tempco).Steady state: hot resistance limits current to rated value and sets light output.Conclusion: the lamp possesses both cold and hot resistance values.Verification / Alternative check:
Measure resistance with an ohmmeter (cold) and compute operating resistance from V/I at rated operation (hot). Hot resistance often measures ~10× the cold resistance, confirming the dual behavior.
Why Other Options Are Wrong:
- “cold resistance” or “hot resistance” alone ignores the other operating condition.
- “ballast resistance”: applies to fluorescent/LED drivers, not incandescent filaments.
- “zero resistance”: no practical conductor has zero resistance; filament certainly does not.
Common Pitfalls:
- Underestimating inrush current and inadequately rating switches or dimmers.
- Using cold ohmmeter readings to predict running current without accounting for heating.
Final Answer:
both cold and hot resistance