Please refer to the attachment for questions complete with circuit diagrams, and provide full answers.

1a) Derive an expression for the transfer function Vout/Vin of the circuit below (assume that no current flows to the output terminals AB).

1b) State whether the circuit can be made to produce an output signal with zero phase shift. If a zero phase shift is possible, describe the conditions under which it occurs.

2a) Calculate the Thevenin's equivalent e.m.f. and impedance as seen between terminals AB (assume C2 is the load at AB).

2b) Using the Thevenin's equivalent circuit derived in Part a above, calculate the voltage VOUT.

1a) Lets work out the impedance of the || combination of the resistance (R) and the inductance (L) at an angular frequency w. Lets call this impedance Z(out) which is given by the || impedance rule as

1/Z(out) = 1/R + 1/jwL (1) {where w is angular frequency of operation}

We will substitute s = jw in (1) so

1/Z(out) = 1/R + 1/sL

Z(out) = sLR/{R + sL} (2)

Impedance of the series capacitor is given by

Z(cap) = 1/jwC = 1/sC (3)

Total impedance of the circuit is given by Z(tot) where

Z(tot) = Z(cap) + Z(out) (4)

Putting in expressions for Z(out) & Z(cap) as obtained in (2) & (3) into (4) we get

Z(tot) = 1/sC + sLR/{R + sL}

Z(tot) = ({R + sL} + (s^2)*LCR)/sC(R + sL) (5)

Now by the voltage divider rule we can say that the transfer function
Av = V(out)/V(in) = Z(out)/Z(tot) (6)

An LCR circuit is presented and the transfer function of Vout/Vin is determined based on known passive values. An expression for the phase is determined and questions about zero phase are asked and answered. The Thevenin equivalent circuit is deduced and the Thevenin emf and input impedance worked out

In the circuit shown (in the attachment) a ZL = 200 + j 100 Ohm load is to be matched to a 40 Ohm line, using a length, l, of lossless transmission line of characteristic impedance, Z1. Find l and Z1. Determine, in general, what type of load impedances can be matched using such a circuit.

Show that in a resonant LCR series circuit the maximum potential across the condenser occurs at a frequency W=Wo (1-1/2(Qo)^2)^1/2, where (Wo)^2 = (LC)^-1 and Qo = Wo(L/R).
See attachment for better symbol representation.

Given that R=1 kilo ohm, C= 1micro farad and L= 100 milli Henry's calculate the frequency at which the current in an LCR series circuit lags the supply voltage by 45 degrees.

In the circuit below, V is an alternating voltage of a constant amplitude 10 V but of variable frequency. The purpose of the circuit is to detect a frequency of 1600 Hz by operating the relay.
CT is a 2-to-22 nF trimming capacitor used to adjust the resonant frequency of the circuit. This is set to 10 nF.
Calculate the maxi

please see question
Refer to figure 5-1 below
a. Derive the Thevenin's equivalent e.m.f. and impedance as seen between the terminals AB.
(Note:You must show the simplified version of the circuit that you are working on when applying the theorem).
b. Draw the Thevenin's equivalent circuit derived in Part a. above, hen

A 2400V balanced, three phase delta circuit (see attached) has phase load impedances of 40+j60 OHMS. What are IaA, IbB, and IcC?
Note: That just as the current IaA shown on the attached, is the current flowing from node a to node A, the current IbB is the current flowing from node b to node B, and the current IcC is the curr

This is for a 0.1 mA collector current with beta typical = 72. Minimum Beta is 40 and maximum beta = 120. Please see the attached image for circuit diagram.
Provide a suitable network at the emitter to provide a voltage gain of 100, and provide input and output capacitors as well as the emitter network to operate as low as 10

Please review the below questions and give fully worked out answers and explainations where appropriate so it can assist in my further understanding of electrical and electronic circuit theory for complex simultaneous equations, mesh analysis, and Kirchoffs Laws.

See attached file for full problem description.
9 (a) Sketch the Phasor diagram for an ac circuit with a 108 omega resistor in series with a 25.5 mH inductor and a 34.7 mu F capacitor. The frequency of the generator is 60.0 Hz. (b) If the rms voltage of the generator is 120 V, what is the average power consumed by the circuit