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According to Ohm's law, R=V/I. As the current flowing through a conductor increases, the resistance of the conductor ______.

Asked in GSEB Board March 2020 · Ohm's law and resistivity

• (1) Increases
• (2) Decreases
• (3) Remains constant
• (4) Nothing can be said

Step-by-step solution

Why the other options are wrong

• (1) Would need the conductor's temperature or dimensions to change. Ohm's law describes a conductor under fixed physical conditions, and then R=ρL/A does not depend on the current.
• (2) Reads R=V/I as R∝1/I. For a given conductor the current rises only because V rises in the same proportion, so the ratio V/I is unchanged.
• (4) Ohm's law says exactly what happens: at constant temperature V∝ I, so their ratio is a fixed property of the conductor.

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