The greater the voltage across a fixed resistor, what happens to the current through that resistor?

When the voltage across a fixed resistor increases, the current flowing through that resistor also increases. This relationship is described by Ohm's Law, which states that the current (I) through a resistor is directly proportional to the voltage (V) across it and inversely proportional to the resistance (R) of the resistor. The mathematical expression for Ohm's Law is I = V/R.

Since the resistance is fixed, any increase in voltage will result in a correspondingly larger current. For example, if the voltage doubles and the resistance remains constant, the current will also double. This foundational principle is essential for understanding electrical circuits and their behavior under varying electrical conditions.