An ac power generator produces 50 a (rms) at 3600 v. the voltage is stepped up to 100 000 v by an ideal transformer and the energy is transmitted through a long-distance power line which has a resistance of 100 ohms. what percentage of the power delivered by the generator is dissipated as heat in the long-distance power line?

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?