# The current flowing in a wire is inversely proportional to the resistance of the wire. If the current is 5 amperes (A) when the resistance is 24 ohms (Ω), for what resistance will the current be 8 amperes?

Aug 8, 2017

15 $\Omega$

#### Explanation:

We know that,

$R \propto \frac{1}{I}$

From above equation, it is clear that

$\frac{{R}_{2}}{{R}_{1}} = \frac{{I}_{1}}{{I}_{2}}$$- - - - - - - - - \to \left(1\right)$

From given data,

I_1 =5 & R_1 =24
${I}_{2} = 8$

${R}_{2} = \frac{24 \cdot 5}{8}$

${R}_{2} = \frac{120}{8}$

${R}_{2} = 15$$\Omega$