If the filament length is doubled with the same cross-section and the same voltage, what happens to the current in the filament?

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Study for the UCF PHY2054 General Physics Exam. Use flashcards and multiple-choice questions complete with hints and explanations. Boost your understanding and get exam-ready!

Multiple Choice

If the filament length is doubled with the same cross-section and the same voltage, what happens to the current in the filament?

Explanation:
The current is set by Ohm’s law, and for a uniform conductor the resistance scales with its length: R = ρL/A. If you double the length with the same cross-sectional area, the resistance doubles (assuming the material stays the same and its resistivity doesn’t change). With the same applied voltage, the current is I = V/R, so doubling the resistance halves the current. So the current becomes half of what it was before.

The current is set by Ohm’s law, and for a uniform conductor the resistance scales with its length: R = ρL/A. If you double the length with the same cross-sectional area, the resistance doubles (assuming the material stays the same and its resistivity doesn’t change). With the same applied voltage, the current is I = V/R, so doubling the resistance halves the current. So the current becomes half of what it was before.

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