A physics student has a single$-$occupancy dorm room. The student has a small refrigerator that runs with a current $1\mathrm{.}5$ A$,$ a lamp that contains a $100-$W bulb, an overhead light with a $60-$W bulb, and various other small devices adding up to $5$ W$.$ All the appliances run on a voltage of $110$ V$.$

Overall Hint

What is the total power used by the dorm room $($while the refrigerator runs$)?$

Total power used by the dorm room is W$.$

Assuming that the power plant for the electricity is $14$ km away and uses $0-$gauge copper wire $($diameter $8\mathrm{.}251$ mm$),$ how much power is dissipated in transmission $($remember to count the return wire$),$ if the power plant is directly providing the $110-$V$?($To be more precise, the power plant is providing the voltage it needs to provide, so that the voltage at the dorm room is $110$ V$.)$

Hint for part $($b$)$

Power of W is dissipated in transmission at $110$ V$.$

The most common way to increase the efficiency of power transmission is by using higher voltage for long$-$distance transmission $($and it is "down transformed" nearer the consumers of electricity$).$ Assuming that the same amount of power calculated in $($a$)$ is transmitted, how much power is dissipated in transmission, if the power plant provides the power at $110$ kV$?($To be more precise, the power plant is providing the voltage it needs to provide, so that the voltage at the transformer station is $110$ kV$.)$