Given:
The resistance of the heater is,
[tex]R=10.17\text{ ohm}[/tex]The current through the heater is,
[tex]i=18.99\text{ A}[/tex]The cost per kWh is,
[tex]22\text{ cents}[/tex]To find:
The cost to run the heater for
[tex]t=2.05\text{ h}[/tex]Explanation:
The energy used by the heater in this time is,
[tex]\begin{gathered} E=i^2Rt \\ =(18.99)^2\times10.17\times2.05 \\ =7518.39\text{ Wh} \\ =7.52\text{ kWh} \end{gathered}[/tex]The cost to run the heater is,
[tex]\begin{gathered} 7.52\times22 \\ =165.44\text{ cents} \end{gathered}[/tex]Hence, the cost to run the heater is 165.44 cents or 165.44 pennies.
