A steady current flow in a metallic conductor of non-uniform cross-section. The quantity/quantities remaining constant along the whole length of the conductor is /are.
Question
A steady current flow in a metallic conductor of non-uniform cross-section. The quantity/quantities remaining constant along the whole length of the conductor is /are.
Solution
The quantity that remains constant along the whole length of the conductor is the current.
Here's why:
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According to Ohm's law, the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points. This is expressed as I = V/R, where R is the resistance.
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The resistance of a conductor is given by R = ρL/A, where ρ is the resistivity of the material, L is the length of the conductor, and A is the cross-sectional area.
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In a conductor of non-uniform cross-section, the area (A) and therefore the resistance (R) may vary along the length of the conductor. However, the current (I) remains constant.
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This is because the current is the rate of flow of electric charge. In a closed circuit, the charge doesn't have anywhere else to go, so the same current must flow through all parts of the circuit, regardless of the cross-sectional area of the conductor.
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Therefore, even in a metallic conductor of non-uniform cross-section, the current remains constant along the whole length of the conductor.
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