Question

For a constant voltage, how is the resistance related to the current?

Resistance is inversely proportional to current, so when the resistance doubles, the current is cut in half.
Resistance is directly proportional to current, so when the resistance doubles, the current is cut in half.
Resistance is inversely proportional to current, so when the resistance doubles, the current doubles.
Resistance is directly proportional to current, so when the resistance doubles, the current doubles.

Answer 1

For a constant voltage, the relationship between resistance (R), current (I), and voltage (V) is described by Ohm's Law, which states that \( V = I \cdot R \).

From this relationship, we can see that:

- If the voltage (V) is constant, then the resistance (R) is inversely proportional to the current (I).

This means that when resistance doubles, the current is cut in half. Therefore, the correct statement is:

**Resistance is inversely proportional to current, so when the resistance doubles, the current is cut in half.**