Which statement correctly matches the relationship between voltage, resistance, and current for a given circuit?

The relationship between voltage (E), current (I), and resistance (R) in an electrical circuit is expressed through Ohm's Law, which states that I = E/R. This fundamental principle indicates that current is directly proportional to voltage and inversely proportional to resistance.

When resistance (R) is increased while keeping voltage (E) constant, the current (I) must decrease. This is because the current has to overcome a higher resistance, which limits the flow of electrons in the circuit. Therefore, if resistance goes up, current goes down, making this statement accurate.

The other statements do not adhere to Ohm's Law. For instance, increasing voltage does not decrease current; it would actually increase current if resistance remains the same. Similarly, lowering resistance would increase current, not decrease it, and reducing voltage would lower current, not increase it. Understanding these relationships is essential for analyzing and troubleshooting electrical circuits effectively.