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Question
which statement describes the relationship of resistance and current? resistance is directly proportional to current because r = v/i. resistance is inversely proportional to current because r = v/i. resistance is directly proportional to current because r = vi. resistance is inversely proportional to current because r = vi.
Step1: Recall Ohm's law
Ohm's law is $V = IR$, where $V$ is voltage, $I$ is current and $R$ is resistance. We can rewrite it as $R=\frac{V}{I}$.
Step2: Analyze proportionality
When voltage $V$ is constant, if $I$ increases, $R=\frac{V}{I}$ decreases and vice - versa. So resistance $R$ is inversely proportional to current $I$ because $R = \frac{V}{I}$.
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Resistance is inversely proportional to current because $R=\frac{V}{I}$.