A coil of 500 turns and resistance 20 ohm is wound uniformly on an iron ring of mean circumference 50 cm and area of cross-section 4 cm2 . It is connected to a 24V DC supply. Under these conditions, the relative permeability of iron is
800. Calculate
(a) MMF of the coil,
(b) magnetizing force,
(c) total flux in the iron and (d) reluctance of the ring.​

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)?