# A circuit with a resistance of 6 Omega has a fuse that melts at 8 A. Can a voltage of 24 V be applied to the circuit without blowing the fuse?

Jun 22, 2016

Yes; this will not blow the fuse.

#### Explanation:

Current ($I$) varies directly as Voltage ($V$) and inversely as Resistance ($R$)
$\textcolor{w h i t e}{\text{XXX}} I = \frac{V}{R}$

In this case
color(white)("XXX")I=(24 v)/(6 Omega)= 4 ("volts")/(Omega) = 4 " Ampers"

Since this is less than the maximum load that the fuse can handle,
the fuse will not be blown.