An increase in voltage will result in which of the following, assuming resistance remains constant?

When considering the relationship between voltage, current, and resistance in an electrical circuit, Ohm's Law is fundamental. Ohm's Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R). This relationship can be expressed mathematically as:

I = V / R

In the scenario described, where the voltage is increased while keeping the resistance constant, Ohm's Law reveals that the current must increase. This is because, with a higher voltage applied across a constant resistance, the numerator in the Ohm's Law equation (voltage) is increasing, and thus the overall current must also increase to maintain the equation's balance.

Therefore, if the resistance does not change, any increase in voltage will correspondingly cause an increase in the current flowing through the circuit. This is why the correct answer is that there will be an increase in current.