Q5 (lsm3). consider an lti filter with frequency response h(jw) = a/(a+jw) and a > 0. what is the 3 db cutoff frequency of the filter? (a) w = a [rad/sec]. = a, 1/a [rad/sec]. (b) w = (c) w = ja [rad/sec]. (d) w = j/a [rad/sec].

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)?