For a specific value of voltage, what relationship exists between current and resistance?

The relationship between current and resistance at a specific voltage is described by Ohm's Law, which states that voltage (V) equals current (I) times resistance (R), or V = I × R. When voltage is held constant, any increase in resistance will result in a decrease in current, and vice versa. This means that current is inversely proportional to resistance; as resistance increases, the current decreases, and as resistance decreases, the current increases, all while maintaining the same voltage level.

This inverse relationship is fundamental in electrical circuits and helps in understanding how changing one parameter affects the others. For instance, if a circuit has a fixed voltage source and resistance is increased (due to a component like a resistor being added), the flow of current in the circuit will decrease because the resistance opposes the flow of electrical charge. This is an essential concept for linemen and electricians, as it affects the design and troubleshooting of electrical systems.