Do the problem as stated in the text but with the device transconductances changed to g1 = g2 = 20 Ω−1. If needed, assume the MOSFET threshold voltage is 0. Find the Thevenin equivalent for this circuit as seen at the output. *4.60 Determine vout (t) as a function of vs(t) for the circuit in Fig. P4.60. Assume VDD = 2.5 V. Figure P4.60: Two-MOSFET circuit for Problem 4.60.
In the circuit below, the supply voltage is VDD = 5 V, VG = 2.5 V (i. e. constant), RS = 1 kΩ, RD = 6 kΩ, the threshold voltage is Vt = 1.5 V, the transconductance is k = 4 mA/V2, and the channel-length modulation parameter is λ = 0. (a) Calculate the dc output voltage and the dc drain current of M1. What is the region of operation of M1? (b) Draw the small-signal equivalent circuit, calculate gm, and find the open-circuit voltage gain Avo, the equivalent output resistance rout , and the equivalent input resistance rin.
For the differential amplifier in the figure, what is iD1 in μA if vG1 = 0.069 V and vG2 = −0.069 V? I = 36 μA, VDD = −VSS = 1.8 V, Vtn = 373 mV, kn′ = 200 μA/V2, and (W/L) = 10. (1 decimal)
13.40. (a) What are the Q-points for the transistors in the amplifier in Fig. P13.40. if VDD = 15 V, VSS = 15 V, RSS = 51 kΩ, and RD = 82 kΩ? Assume Kp = 200 μA/V2 and VTP = −1 V. (b) What are the differential-mode gain, common-mode gain, CMRR, and differential-mode and common-mode input resistances?
1. [15 pts] For the circuit show below (a) Determine the value of R1 to generate 400 μA IREF current. (5 pts) (b) Determine the value of R2 in this circuit such that IO = 200 μA. (5 pts) (c) Does IO change if the threshold voltage of both transistors increases by ΔV? (assume that all the transistors are in saturation region. Need proof) (5 pts)
Q4. (30 points) Given that, VDD = 5 V, VTN = 0.4 V, kn = 100 μA/V2, λn = 0.02 V−1, (WL) = 80, R1 = 4 kΩ, R2 = 0.5 MΩ, R3 = 4.5 MΩ. Find V0. For this part, you can ignore λn. (10 points)What's the output resistance RO? You must use small-signal (ss) model to determine the output resistance. (4 points for SS model and 10 points for the rest)If VDD increase 10% to 5.5 V, will the VO also increase 10% and why? (6 points)
Assume active operation for the BJT transistor, consider the provided amplifier circuit with the given circuit and transistor parameters:I1 = 0.5 mA Rsig = 125 Ω Rc = 200 kΩ RL = 2 kΩ VDD = 5 V VBE(on) = 0.7 VB = 50 A/A VA = ∞ VT = 25 mV Please find: IC = mA gm = mS rπ = kΩ v1/vsig = V/V v0/v1 = V/V v0/vsig = V/V Rin = Ω Rout = kΩ
Question 3 Consider a PMOS, as shown in Fig. 1, VDD = 3 V, μpCoxW/L = 20 μA/V2, γp = −0.5 V1/2, ϕf = 0.3 V, λp = −0.01 1/V and Vtpo = −0.8 V. The Circuit is in DCSS. Find the threshold voltage Vtp of the PMOS and the current Ip in this case. Vtp = Vtpo + γp(2Φf+VBSp − 2Φf)
a) Compute differential-mode gain (Adm), for output taken differentially. Assume there is no body/bulk effect and r0 is ∞. (5 pts) b) Convert the circuit into a common-mode half circuit. (5 pts) c) Compute common-mode gain (Acm), for output taken differentially. Assume there is no body/bulk effect and r0 is ∞. (2 pts Bonus)
Q3. DC Circuit with Capacitor (15 points) Suppose C1 = 15 uF, C2 = 20 uF, Find the answer based on the figure. Figure Q3 (a) When the circuit reaches steady state, determine the charges on the two capacitors. (b) When the circuit reaches steady state, calculate the stored energy in each capacitor. (c) When the circuit reaches steady state, calculate the output power of the 20 V DC source.
A point charge q = 10−8[C] has an initial velocity v→ = (3×104)(sinθ, cosθ, 0) [m/s]. It enters a magnetic field B = 2(0, 1, 0) [T]. a) In what direction will the charge be deflected? b) If θ = π/4, what is v? c) What is the magnitude of the magnetic force? d) If the charge has a mass of m = 10−3 [kg], what acceleration will it experience?
Two point charges are placed as shown in the figure. What is the potential difference, VE−VF, between points E and F? 0.00 V 3.00×104 V −3.00×104 V −4.26×104 V 4.26×104 V
Electric Forces from Multiple Charges Three charges are on a line, as shown below. a. What is the magnitude and direction of the force that the −2q charge exerts on the +q charge? (Don't forget to include k.) b. What is the magnitude and direction of the force that the +3q charge exerts on the +q charge? c. Draw the forces acting on charge +q (the middle one) from each of the other two charges. Be sure to start the force vectors on +q and scale the length of the vectors appropriately. d. What is the magnitude and direction of the net force acting on +q? e. What is the net force (magnitude & direction) acting on the +3q charge due to the other two charges?
Two charged spheres on a frictionless horizontal surface are attached to opposite ends of a string & are in static equilibrium. The 45 kg red sphere has more charge than the 32 kg green sphere. The total charge magnitude on the spheres is 603 μC & they have the same polarity. As a result the tension is 2722.5 N & the centers of the spheres are 0.54 m apart. Determine the charge magnitude on each sphere. Qred (bigger charge) = Qgreen (smaller charge) =
Two identical, positively-charged conducting spheres are fixed in space. The spheres are 45.6 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0645 N. A thin conducting wire then connects the spheres, enabling the redistribution of charge on the spheres. When the wire is removed, the spheres still repel, but with a force of F2 = 0.100 N. Using this information, determine the initial charges q1 and q2 on the spheres. Enter the smaller charge as q1. The Coulomb force constant is k = 1/(4πϵ0) = 8.99×109 N⋅m2/C2. q1 = C q2 =
In the diagram below, three charges are positioned at the corners of an equilateral triangle. The magnitude and sign of the charges are indicated in the diagram. Which arrow represents the direction of the net force on charge Y? A B C D
The figure shows a top view of two interconnected chambers. Each chamber has a unique, uniform magnetic field. A positively charged particle fired into chamber 1 follows the dashed path shown in the figure. What is the direction of the magnetic field in chamber 1? up down zero into the screen out of the screen Compare the magnitude of the magnetic field in chamber 1 to the magnitude of the magnetic field in chamber 2. |B1| < |B2| |B1| = |B2| |B1| > |B2|