A simple power system consists of a de generator connected to a load center via a transmission line. The load power is $100$ kW$.$ The transmission line is $100$ km copper wire of $3$ cm diameter. If the voltage at the load side is $10000$ V$,$ compute the following:

a$.$ Voltage drop across the line

Vine

b$.$ Voltage at the source side Vource

c$.$ Percentage of the voltage drop l

d$.$ Line losses

e$.$ Power delivered by the source

f$.$ System efficiency