What is the relationship between current and resistance in a simple circuit?

The correct answer highlights an essential principle of electrical circuits defined by Ohm's Law, which states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance. This relationship can be expressed with the formula: ( I = \frac{V}{R} ), where ( I ) represents the current, ( V ) is the voltage, and ( R ) is the resistance.

In this context, if the resistance in a simple circuit is increased while keeping the voltage constant, the current will decrease. This practical outcome stems from the fact that higher resistance impedes the flow of electrons, thereby reducing the overall current. This principle is critical for understanding how circuits behave when components are modified.

The other options do not accurately reflect the relationship between current and resistance. For instance, suggesting that increasing voltage decreases current contradicts Ohm's Law, as raising the voltage with constant resistance would result in an increase in current. Asserting that current is independent of resistance also misrepresents the foundational principles of electrical circuits, where changes in resistance directly affect the current flow. Finally, the notion that current increases with more resistance is fundamentally incorrect since higher resistance results in lower current flow