Question

The current (I) in an electrical conductor varies inversely as the resistance (r) of the conductor. The current is 2 amperes when the resistance is 960 ohms. What is the current when the resistance is 480 ohms?

Answer 1

$I=\frac{k}{r}$, where $k$ is constant of variation.
$\frac{2}{1} = \frac{k}{960} \\k=2\cdot960=1920$.

Since we know the data to find the current when the resistance is 480 Ohms $\Rightarrow$ $I=\frac{k}{r}=\frac{1920}{480}=4 \ amperes$.

Answer 2

The current is 4 amperes