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2. Consider the following capacitors under voltage constant condition.

(a) Plot E, V through the capacitor, one with a dielectric slab and the other with a metal slab. The

rest of the space is filled with vacuum. Let V = 0 be defined at the right capacitor plate. Pay

special attention to making sure the different regions on the plots line up with the schematic.

(b) Which capacitor has the higher maximum E value? Justify your answer.

(c) Which capacitor stores more total internal energy? Justify your answer.


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the message signal m(t) has the Fourier transform shown in Figure P-3.11(a). This signal is applied to the system shown in Figure P-3.11(b) to generate the signal y(t).The 1. Plot Y(f), the Fourier transform of y(t). 2. Show that if y(t) is transmitted, the receiver can pass it through a replica of the system shown in Figure P-3.11 (b) to obtain m(t) back. This means that this system can be used as a simple scrambler to enhance communication privacy.


4. Consider the following state-transition diagram given in Figure 3, with one input x, and one outputF. (a) Determine the state-transition table (b) Assign bits to to each state and determine the truth table (c) Determine Boolean Algebra expressions for each state bit, and output (d) Design circuitry to perform the operation of the state-transition diagram


2. Consider the following sequential circuit given in Figure 2 (a) Determine the circuit’s characteristic equations. (b) Determine the circuit's state-transition table. (c) Determine the circuit's state-transition diagram.


\text { Consider the passband signal } u_{p}(t)=\operatorname{sinc}(20 t)^{2} \cos (2000 \pi t)+\operatorname{sinc}(20 t) \sin (2000 \pi t) \text {. } (a) Find uc and us, the I and Q components of the signal, using the reference frequency fe = 1000. (b) Find Uc and Us, the spectra of the I and Q components. (c) Find u(t), the complex envelope, and e(t), the envelope. (d) Find the bandwidth of u, and the bandwidth of u. (For the definition of bandwidth of a passband signal, use the convention of equation (2.67) and the lecture notes, not of Figure 2.25.) (e) Draw a circuit using multipliers and low pass filters that extracts uc and us from the passband signal up- (f) Assume that each of the filters in the previous part have ideal low pass frequency responses.Specify the interval of possible choices for the upper end of the frequency band passed by each filter.


An integrated differential amplifier circuit with component and power supply valuesis shown in Figure Q1. The amplifier uses matched IC components. i) Calculate all the quiescent transistor currents and voltages for transistors Q1 and Q2.Hint: ignore the dc voltage drop on resistors R3 and R4. ii) Using the currents evaluated in (i), determine the differential small-signal voltage gain in dB, the single input-output small-signal voltage gain in dB, and the differential input resistance Rin in k2 if ß = 400.%3D iii) Calculate the Common Mode Gain (CMG) and the Common Mode Rejection Ratio(CMRR) in dB. Assumptions:Quiescent means with zero input signal (with grounded inputs). Also, B>> 1 so you may ignore base currents. VBE = 0.7 V, VT = 26 mV.


1. Consider the following sequential circuit given in Figure 1 (a) Determine the circuit's characteristic equations. (b) Determine the circuit's state-transition table. (c) Determine the circuit's state-transition diagram.


For the IC current mirror, which uses matched components, shown in Figure Q2: Derive the equation for the finite current gain error: I out \ I ref Determine the output current for B= 40 and ß= 15,assuming +Vc =+15V , |VBe| = 0.7V, and R =14.3k Calculate the output impedance for the previous two output currents,assuming that the Early voltage of the integrated transistors is: V, = 100V.


3. Consider the following state-transition diagram of a circuit with 2 inputs (x and y) and 1 output (F). (a) Reduce the number of states in the state transition diagram (b) Assign bits to each state (e) Determine Boolean Algebra expressions for each state bit and output (d) Design circuitry to perform the operation of the updated state-transition diagram


For the N-channel MOSFET single stage common source amplifier of Figure Q3: Find the DC operating point Q(I pse VDso ) -DSQ >DSQ Find the small-signal characteristics: voltage gain in dB, input resistance, andoutput resistance, assuming that capacitor C1 acts as an ac short circuit at theoperating frequency.


Problem 6: Consider the circuit shown in Figure 6. Do not ignore channel length modulation. (a) Calculate the input impedance. (b) Calculate the gain, Vout/Vin. (3 + 7 = 10 points) Rs Vin X M 모품 MI Figure 6 Val Vout