HOW CAN I WRITE A PROGRAMING CODE IN ARDUINO DIE ABOUT THE ROOT MEAN SQUARE VALUE OF A SIGNAL

can explain how solve these #Electromagnetism qusitons

------Q1

Point charges Q1 = 100 µC and Q2 = 0.12 µC are placed at (0.03, 0.08, −0.02) and (−0.03, 0.01, 0.04), respectively. Determine the force on Q1

------Q2

Convert ? = 10?−??? − 3??? from cylindrical to Cartesian and evaluate it at (3, 4, 5).

------Q3

Determine the gradient of ? = cos? + sin? + sin2 ? and evaluate the gradient at (2, π/2, π).

------Q4

For the vector field ? = 24?cos??? + 12?2?? + 18???, verify the divergence theorem over the region defined by 0 ≤ ? ≤ 1, −1 ≤ ? ≤ 2, 0 ≤ ? ≤ 2?.

PD CONTROL QUESTION

Is it possible that for PD controlled case following parameters are true?

I have a transfer function T(S)=.023/(.02913S^3+.1543s^2+.1205S). I need to design a PI, PD, or PID controller to give this system a peak overshoot PO of 15% and a rising time Tr of 3 seconds. I have equations that relate the characteristic equation to the PO and Tr, but that only works for a second order equation.

Consider a pMOS transistor with VTH = –0.5 V, Kp = 40μA/V2 , length, L = 0.25μm, and width, W = 1.25μm.

(a) Given that VSG = 1V, determine the range of values of VSD for which the device is in the saturation region.

(b) Given that VSG = 1V, determine the range of values of VSD for which the device is in the triode/linar region.

(c) Plot ISD vs VSG for operation in the saturation region. Ignore channel length modulation i.e. assume that λ = 0.

For the following parts, you will try to “bias” the transistor to meet your needs i.e. choose VSG and VSD. Assume length, L = 0.25μm, and width, W = 1.25μm.

(d) What VSG should you use such that the transistor is in saturation and ISD = 252μA? Assume that λ = 0.

(e) For VSG should you use that the transistor is in triode region and its ON resistance is ron = 3kΩ?

A 50-Hz, 440-V, 2 pole wye connected induction motor is rated at 75 kW. The equivalent
parameters are as follows:
RS = 0.075 Ω RR’ = 0.065 Ω
XS = XR’ = 0.17 Ω Xm = 7.2 Ω
The losses associated with the machine are field and winding, miscellaneous and
core loss with values of 1 kW, 150 W and 1.1 kW, respectively. For a slip of 4 %,
determine
a) The line current. (150.39  -23.08 A)
b) The stator power factor. (0.9199 lagging)
c) The stator copper losses (5.089kW)
d) The air-gap power (99.249 kW)
e) The developed power (95.279kW)
f) The induced torque (315.91N.m.)
g) The motor speed in rad/s (301.6 rad/s)
h) The load torque (312.10 N.m.)
i) The overall machine efficiency (89.3%)

Sample Code and Models

Run each of the models below and explain the code function and your findings for each system, do they agree/disagree with what you understand and why ??

Matlab Code

% Winter 2018 Control Engineering

% Lab No.3 - Root Locus problems

% Mark Clarke

clear

s = tf('s')

K = 1150; %Proportional Controller Gain, May need to be altered?

% Enter Model 1

% This is a model of a simple 2^nd order with no zeros

g1 = 1/((s+2)*(s+4));

h1 = feedback(K*g1,1);

figure(1)

rlocus(g1) % Plot the root locus of system g1

figure(2)

step (h1,5)% plot the step response of system h1

% Enter Model 2

% This is a model of a simple 2^nd order with one zeros

g2 = (s+3)/((s+2)*(s+4));

h2 = feedback(K*g2,1);

figure(1)

rlocus(g2) % Plot the root locus of system g2

figure(2)

step (h2,5)% plot the step response of system h2

% Enter Model 3

g3 = 1/((s*(s^2 + 15*s + 60)));

h3 = feedback(K*g3,1);

g4 = 1/((s+1)*(s^2 + 15*s + 60));

h4 = feedback(K*g4,1);

figure(1)

rlocus(g3)   % run the root locus on the g3 an g4 above

figure(2)

step(h3,10) % run the step response on the h3 an h4 above

PART 2 Findings and Conclusion

Explain linear convolution for continuous and discrete domain signals? provide an example for each case.

identify that parts of a dc generator that convert its induced voltage into a dc output

Write and verify a behavioral Verilog model of J-K flip-flop with active-low asynchronous reset.

Synchronous Counter
Design a counter with MOD-5 (0-3-4-1-6) and explain its operation.

One period of a real-time signal x(t) =2Sin(20*pi*t) , starting at t=0, has to be processed in a 4-bit digital computer. The A/D card have a sampling frequency of 55Hz and the input range is +/- 2Volts.

i) What are the values recorded in the sampled signal x[n] ?

ii)What is the resulting quantized signal?

iii)What is the resulting digitized/coded signal?

iv)If the sampled signal x[n] was filtered using a moving average filter of length 3 , what would the filtered signal be?

(6) In the presence of an applied electric field, the bandgap of a semiconductor effectively

(   )

(A) Increases with increasing electric field, and decreases with decreasing temperature

(B) Decreases with increasing electric field, and increases with decreasing temperature

(C) Decreases with increasing electric field, and decreases with decreasing temperature

(D) Increases with increasing electric field, and increases with decreasing temperature

Can you give me any information and equations/pictures you can for:

1.Op amp bandwidth limitations/ gain bandwidth product

2.negative feedback

3.closed loop gain

4.input bias current

I have a test tomorrow and those are the four things I forgot all about so please explain them and any information I may need on those topics.

Thank you