A charge of #18 C# passes through a circuit every #24 s#. If the circuit can generate #8 W# of power, what is the circuit's resistance?

1 Answer
May 29, 2016

#R=14.22" " Omega#

Explanation:

#Delta Q=18C" charge passing through circuit"#
#Delta t=24 s" time"#
#P=8W" power generated by circuit"#
#R=?#

#"current is described as "I=(Delta Q)/(Delta t)#

#I=18/24=3/4A#

#"remember that " P=I^2*R#

#8=(3/4)^2*R#

#8=9/16*R#

#R=(8*16)/9#

#R=14.22" " Omega#