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How are the current and resistance related when the voltage of a circuit is constant?
The current doubles when the resistance doubles because they are directly proportional.
The current doubles when the resistance doubles because they are inversely proportional.
The current is cut in half when the resistance doubles because they are directly proportional.
The current is cut in half when the resistance doubles because they are inversely proportional.
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The current is cut in half when the resistance doubles because they are inversely proportional.
Explanation: With constant voltage V, Ohm’s law gives I = V/R, so I ∝ 1/R. If R goes to 2R, I goes to V/(2R) = (1/2)(V/R). Example: 10 V across 2 Ω → 5 A; across 4 Ω → 2.5 A.
Explanation: With constant voltage V, Ohm’s law gives I = V/R, so I ∝ 1/R. If R goes to 2R, I goes to V/(2R) = (1/2)(V/R). Example: 10 V across 2 Ω → 5 A; across 4 Ω → 2.5 A.
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