### Net capacitance of a capacitor

1. What is the net capacitance of a capacitor given: Relative permitivity is 500 The area is one square meter The distance between the plates is 0.001 meters

1. What is the net capacitance of a capacitor given: Relative permitivity is 500 The area is one square meter The distance between the plates is 0.001 meters

I have a complex voltage = 10-j20. I am trying to convert it to polar coordinates with my Ti 89 but I keep getting my answers in arc tan. Can someone show me a way to restrict this answer within -pi and pi so I don't get any arc tan in my conversion.

7. Assume that these registers contain the following: A = F0, B = 56, and R1 = 90. Perform the following operations. Indicate the result and the register where it is stored. Note: The operations are independent of each other. (a) ANL A, #45H (b) ORL A, B (c) XRL A, #76H (d) ANL A, R1 (e) XRL A, R1 (f) ORL A, R1 (g

Complete only 3.6. See attached file for full problem description. Let z denote a complex variable z = x + jy = re^jt The complex conjugate of z is dentoed by z* and is given by z* = x - jy = re^-jt Derive each of the following relations, where z, z1 and z2 are arbitrary complex numbers: (a) zz* = r^2 (b) z/z* = e

Problem 3.3 only. See attached file for full problem description. Problem 3.3 Obtain the expression in the standard form Xcos(wt + a) for the real sinusoidal function x(t) corresponding to each of the complex phasors given below. a) X = -2 + j2 b) X = 1/(-2 + j2) c) X = (1 + j)^5

In the circuit below, no current is drawn from the output terminals. a. Derive an expression for the total impedance Zt across the input terminals A and B. Hence derive an expression for the current i. Write the expression in the form: [R + jX] b.(1) Derive an expression for the frequency at which the current (i) is in phase w

The circuit outputs at the start are set to Qa=Qb=Qc='0'. C is the MSB ant the output number at the start is therefore 0. Assume that each JK has a zero propagation delay. Draw all the output waveforms, determine the sequence of output numbers produced by the JKs for eack clock cycle. See attached file for full problem

Root Locus Analysis & Design. See attached file for full problem description. 1) Draw the root locus of L (attached). of for positive and negative gain on graph paper. Find (graphically) the gain, k, to get l = 0.5 for the dominant poles and specify the corresponding corner frequency. 2) Draw the root locus of L (attach

See attached file for full problem description. Consider the system with the loop transfer function shown in the attached. a) Sketch the Bode plot and calculate (tabulate) L(jw) at w = [0, 1, 5, 10, 40, infinity] rad/s. Hence sketch the full Nyquist diagram. b) Analyse the closed loop system stability If the closed loop

A system is defined by the equations: x1 = -3x1 + 2x2 + x3 + 2u1 + u2 x2 = 3x1 - 2x2 + x3 + u1 x3 = -4x2 - x3 + u1 y1 = 5x1 - 3x2 + x3 + u1 y2 = x1 + x2 + u1 + u2 Write the equations in standard matrix form and identify the A, B, C, and D matrices Draw a simulation (block) diagram.

44. You have installed into a water pipe a turbine flow sensor that has a calibration factor of 60 pulses/gallon. When water is flowing in the pipe the sensor outputs 470 pulses/minute. What is the flow rate in gallons/minute? a. 0.1218 b. 7.83 c. 470 d. 28,200 45. A slotted disk and opto-interrupter outputs pulses at 6

I need help with these three questions: 32. A 10 volt unipolar analog input has a voltage resolution of 78.125 mV. The bit resolution is _____ bits. a. 7 b. 8 c. 9 d. 10 33. A 10-bit polar +/- 10 volt analog input has +4.35 volts applied to the input terminals. What will be the converted value in decimal format? a. 222

I am trying to get a feel for Fourier transforms and would like some help. Please show all work/explanations. 1. Let g(t) = x(2t) - x*(2t- 1/2T0), assume that X(jw) is known Find G(jw) in terms of X(jw). 2. Let x(t) = 10sin(200t)/t a) Find X(jw) b) Let x(t) be the input to a continuous LTI system with impulse response

Circuit diagram for finite state machine. See attached file for full problem description.

1. a) Draw the truth table for the circuit shown below. b) Show an extrusion of this circuit that realizes a DFF. (see attached file for diagram)

I've attached jpegs that show the circuits that I'm working with. My problem is that I don't know how to find the values of Ct and Rt for a specific firing angle. What formulas are needed? Is the calculation affected by the fact that there are two different loads (see circuits 1 and 2 jpegs)? What process must I go through to fi

Write a mnemonic code corresponding to the rung shown in the attached diagram.

It is desired to control the coil of a relay CR4 using relay contacts CR1, CR2, and CR3. CR4 is to be ON whenever a majority of CR1, CR2, and CR3 are ON (i.e. any two or all three). Draw a one-rung relay ladder diagram that will produce the logical operation.

Please explain design steps using bode plots and different stages of Inverse Nichols Chart. See attached file for full problem description.

Bode plot, nyquist, root locus. See attached file for full problem description. A) By drawing the Bode (with reasonable accuracy at frequencies of interest) and then using a rough sketch of the (full) Nyquist diagram, assess the stability of the following system in a unity gain, negative feedback configuration. b) What wo

See attached file for full problem description. (5) Find the Norton equivalent (R_N and I_N) at terminals a-b of the circuit shown below (6) Using superposition, calculate v0 in the circuit below (7) Find the Norton equivalent (R_N and I_N) at terminals a-b of the circuit shown below

A lead compensator increases the high-frequency gain while keeping the low-frequency gain the same. a. True b. False

For a stable, physical system, which of the following is true? a. All the elements of the first column of the Routh stability table have the same sign. b. The elements of the first column of the Routh stability table can have either plus or minus signs. c. Neither of these. See attached file for full problem description.

The system stability of a feedback control system is determined by which of the following? a. The poles of the system closed loop transfer function. b. The zeros of the system open loop transfer function. c. Both of these. d. Neither of these. See attached file for full problem description.

What is the inverse Laplace Transfor of 1 / (s+2)^2...See attached

What is the Laplace transform for the time domain function 2t^2u(t)

What are the linearity, order, causality, and time variance of each input-output relationship for systems? 1. (dy/dt) + (1/RC)y(t) = x(t) when RC = constant 2. (dy/dt) + (t^2)y(t) = x(t) 3. (d^2y/dt^2) + y(t)(dy/dt) + y(t) = x(t) 4. y(t) = x^2(t) + 1.

See attached file for full problem description. What is the period and fundamental frequency of the attached signal?

See attached for a Routh-Hurwitz problem

What would the damping ratio be for a pole at s= -1 + j3?