An electric heating element is connected to a 110 V circuit and a current of 3.2 A is flowing through the element. How much energy is used up during a period of 5 hours by the element
Energy, E is given by = IVt
Where E is Energy in Juoles.
I is Current in Amperes,
t is time in seconds,
I = 3.2 A, V = 110 V, t = 5 hours = 5 3600 seconds. 1 hour = 3600s
E = 3.2 110 5 3600
E = 6 336 000 Juoles
E = 6.336 * 10^6 J = 6.336 MJ
\(V=110 \ V \\ I=3,2 \ A \\ t=5 \ h=18 \ 000 \ s \\ \boxed{E-?} \\ \bold{Solving:} \\ \boxed{E=V \cdot t \cdot I} \\ E=110 \ V \cdot 3,2 \ A \cdot 18 \ 000 \ s \\ \Rightarrow \boxed{E=6 \ 336 \ 000 \ J}\)