Characteristic Curves Of Components
While studying a filament lamp, a student notices its current versus voltage graph curves and bends instead of forming a straight line through the origin.
Select the correct option:
Solution
Its resistance increases as the filament heats up with rising current
NCERT Class 12, Chapter 3 points out that Ohm's law holds only when physical conditions, especially temperature, remain constant, and it identifies devices whose characteristics are non-linear. A filament lamp is a classic non-ohmic conductor: as the current increases, the filament heats up, and because the resistivity of a metal rises with temperature, its resistance increases. Consequently the current grows less than proportionally with voltage, so the current-voltage graph bends toward the voltage axis rather than staying straight. The option claiming perfect Ohm's law obedience is wrong because the observed curvature directly contradicts a constant-resistance straight line. The option claiming resistance falls because the metal cools is wrong because a current-carrying filament heats up, not cools, and metallic resistance rises with temperature. The option blaming instrument errors is wrong because the curvature is a genuine physical effect reproducible across careful measurements. Quantitatively, the resistance of a metal rises roughly linearly with temperature through its positive temperature coefficient, so at higher currents the filament may glow white-hot and its resistance can be several times its cold value. This is also why the inrush current when a lamp is first switched on is much larger than its steady operating current. A consistency check confirms that rising temperature increasing metallic resistance fully explains the bending characteristic of the filament lamp, distinguishing it clearly from an ideal ohmic resistor whose graph stays straight.
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About This Question
- Subject
- physics
- Chapter
- experimental skills
- Topic
- characteristic curves of components
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
Its resistance increases as the filament heats up with rising current
NCERT Class 12, Chapter 3 points out that Ohm's law holds only when physical conditions, especially temperature, remain constant, and it identifies devices whose characteristics are non-linear. A filament lamp is a classic non-ohmic conductor: as the current increases, the filament heats up, and because the resistivity of a metal rises with temperature, its resistance increases. Consequently the current grows less than proportionally with voltage, so the current-voltage graph bends toward the voltage axis rather than staying straight. The option claiming perfect Ohm's law obedience is wrong because the observed curvature directly contradicts a constant-resistance straight line. The option claiming resistance falls because the metal cools is wrong because a current-carrying filament heats up, not cools, and metallic resistance rises with temperature. The option blaming instrument errors is wrong because the curvature is a genuine physical effect reproducible across careful measurements. Quantitatively, the resistance of a metal rises roughly linearly with temperature through its positive temperature coefficient, so at higher currents the filament may glow white-hot and its resistance can be several times its cold value. This is also why the inrush current when a lamp is first switched on is much larger than its steady operating current. A consistency check confirms that rising temperature increasing metallic resistance fully explains the bending characteristic of the filament lamp, distinguishing it clearly from an ideal ohmic resistor whose graph stays straight.
This medium difficulty physics question is from the chapter experimental skills, covering the topic of characteristic curves of components. It appeared in the 2025 exam.
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