If a current of #8 A# passing through a circuit generates #32 W# of power, what is the resistance of the circuit?

1 Answer
Jul 19, 2016

I found: #0.5Omega#

Explanation:

In general Power will be:
#P=V*I#
where #V# is voltage and #I# current.

Using Ohm's Law, #V=R*I#, you can manipulate the above expression to introduce Resistance #R# as:

#P=V*I=color(red)(R*I)*I=R*I^2#
in your case:
#32=8^2*R#
rearranging:
#R=0.5Omega#