The frequency of the sinusoidal voltage source in the circuit in Fig. P9.37 is adjusted until the current i, is in phase with Vg- a) Find the frequency in hertz. b) Find the steady-state expression for ig (at the fre- quency found in [a]) if v̟ = 45 cos wt V. c) Find the maximum value of 'R' for which reso- nant frequency of the circuit will have real value. Figure P9.37 300 N 100Ω(R) 100 mH :2 µF

QI: Connect the block diagram shown below. If A=1, trace on the oscilloscope the step function, Vol and Vo2. What is the steady state error? Verify that the function et and are L.T pairs. Vol Vo2

An RLC circuit is build with a 220 microfarad capacitor 10 mH inductor an a 15 ohms resistance in series. It is operated with a Voltage source of Frequency of 400HZ and maximum voltage 12Va) Find the angular frequency of the sourceb) Find the reactance of each circuit elementc) c)Find the impedanced) Find the maximum currente) Find the phase factor theta between the current and the voltage sourcef) Write the current and voltage of the circuit as a function of time

The frequency of the sinusoidal voltage source in the circuit below is adjusted until the current i, is in phase with vg. (Hint: Remember that all impedances shift the phase of the current relative to the voltage except when the impedance is purely resistive!) a) Find the frequency in Hertz. b) Find the steady-state expression for ig (at the frequency found in part a) if vg = 90 cos wt V. 500 Ω Vg ig 200 Ω 200 mH 1 μF