Figure P2.86 shows a circuit that performs a lowpass STC function. Such a circuit is known as a first-order, low-pass active filter. Derive the transfer function and show that the dc gain is and the 3-dB frequency Design the circuit to obtain an input resistance of 10 k, a dc gain of 20 dB, and a 3-dB frequency of 10 kHz. At what frequency does the magnitude of the transfer function reduce to unity?

AC Steady State Power (Chapter 1) Different types of AC power 1. Instantaneous Power [Watts] 2. Average Power (Active Power, Real Power) [Watts] 3. Reactive Power (Imaginary Power) [VAR] 4. Complex Power [VA] 5. Apparent Power [VA] 6. Power Factor Instantaneous Power p(t) [W] Its symbol is p(t) and the unit is Watts [W] p(t) = v(t) • i(t); t = time; v(t) = instantaneous voltage; i(t) = instantaneous current Instantaneous Power can have positive or negative sign depending on the current 1. If current i(t) is entering the device then p(t) is positive and the device is absorbing or dissipating power 2. If current i(t) is leaving the device then p(t) is negative and the device is supplying o