What happens to the voltage drop if the voltage on a line is doubled?

To understand the impact of doubling the voltage on a line and its effect on the voltage drop, it's important to recognize that the voltage drop across a conductor (like a wire) is influenced by several factors, namely the resistive properties of the conductor and the current flowing through it.

Ohm's Law, which states that voltage (V) equals current (I) times resistance (R), is central to this discussion. The voltage drop (V_drop) across a conductor can be expressed as:

V_drop = I × R

If the voltage on a line is doubled, this does not directly impact the voltage drop as per Ohm's Law, because the resistance of the line remains constant and the current might change depending on the load. However, if the load does not change, and the system is designed such that current remains the same with an increased voltage, the voltage drop would remain consistent as well.

Therefore, the notion that the voltage drop is halved effectively applies when considering how an increase in voltage may lead to a different proportion of the original voltage. However, in this specific context, the relationship indicates that the voltage drop would indeed remain the same if current does not change.

This clarification shows that as the input voltage goes