Questions asked
8. Complete the following reactions by writing the missing reagent, product or substrate. OH OH Ο Ο
1) An 8-bit ADC with a reference voltage of 6V is implemented using the Counter Ramp technique. Assume the input voltage is 4.2V. How many clocks are needed to conduct a conversion? You do not need consider the sampling time. (4 points) 2) A 10-bit ADC with a reference voltage of 5V is implemented using the SAR technique. Assume the input voltage is 2.7V. How many clocks are needed to conduct a conversion? You do not need consider the sampling time. (4 points) 3) An analog signal has a maximum frequency of 2750HZ, what should be the minimum sampling rate of the ADC so that the digitized data can be used to perfectly reconstruct the original analog signal? (4 points) 4) For an 8-bit DAC, if Vref = 6.0 V, and the input code is 0x8C, what is the DAC output voltage? (4 points)
If the gradient of $f$ is $\nabla f = y\vec{j} - 3x\vec{i} - zy\vec{k}$ and the point $P = (-1, -3, 8)$ lies on the level surface $f(x, y, z) = 0$, find an equation for the tangent plane to the surface at the point $P$. $z = x - y + 8z - 66 = 0$
d. Which curve best represents the change that would occur if the resources of this society increased? OPPC1 to PPC3 PPC1 to PPC2 e. Which curve best represents the change that would occur with a huge natural disaster that destroyed one-third of produc capacity? O PPC1 to PPC2 PPC1 to PPC3
How did the characteristics (political and economic institutions) of capitalist economies evolve from the 19th to 20th century? How did these changes shape the performance of capitalist economies in the two centuries? In particular, how and why did they lead to the Great Depression? Explain in detail.
Texts: PURPOSE The purpose of this assignment is to develop learners' ability to analyze the auditing process in an organization. REQUIREMENT Discuss the importance and purposes of audits in an organization. Identify the possible issues related to the forensic audit and give recommendations to overcome the possible issues. [Total: 40 marks]
2. Investigate resonance for the following differential equation $9x'' + 6x' + 37x = cos(\omega t)$. First evaluate the parameters $k_0$, $\tau_0$, $\omega_0$, $B_0$ exactly and then $Q$ approximately (2 decimal places) and then use calculus plus the formula for the response amplitude \begin{equation*} A(\omega) = B_0 \left( (\omega^2 - \omega_0^2)^2 + k_0^2 \omega^2 \right)^{-\frac{1}{2}} , \end{equation*} to find the exact and 4 decimal place approximations for the peak frequence $\omega_{peak}$ and amplitude $A(\omega_{peak})$ and do the same for the natural freqency $\omega_0$ and amplitude. [Be sure to show your calculus steps and evaluation details by hand.] \begin{equation*} \text{Compare the value of the ratio } \frac{A(\omega_{peak})}{A(0)} \text{ with } Q. \text{ Finally evaluate and plot the ratio } \frac{A(\omega)}{A(0)} \text{ versus the frequency for } 0 \le \omega \le 10 \text{ with the gridline option on. [plot 3]} \end{equation*}
1. How should you orient a current-carrying wire in a uniform magnetic field for the wire to experience a maximum force? Why? (2 points) 2. How does the force experienced by a current carrying conductor change when placed in a magnetic field such that the angle between the wire and magnetic field is 0°? (2 points) 3. Convert 234 Gauss to Tesla. (2 Points)
Problem 1 • Consider a thin-walled spherical balloon made of uniform material and having a uniform wall thickness. When it is inflated with an internal pressure $p$, the radius of the sphere is $R$ and the tension in the wall is $T$ per unit length. • Derive the condition of equilibrium: $p = \frac{2T}{R}$ • Consider a circular cylindrical tube inflated with an internal pressure $p$ to a radius $R$. Show that the circumferential tension per unit length, $T$ (the hoop tension), is related to $p$ and $R$ by: $p = \frac{T}{R}$ Resistance to bending of the wall is assumed to be negligible.
f) Which of the following is not a continuous symmetry of the stated Lagrangian density, with respect to the arbitrary real constant? i) Electromagnetic Lagrangian EM, A A + o for fixed Lorentz scalar field. iii) L=-OuOPu*v+Uu*auueiT,u*u*e-iT iv Massless Dirac Lagrangian i.e.p with m=0,+o +To for o a constant Dirac4-spinor. v) None of the above (i.e. all are Noether symmetries). (6 quantities is a Lorentz pseudoscalar? i)|E|2-|B|2 ii) |E|+|B|2 iii) EB iv) EB None of the above h) Which of the following is not a consequence of the relativistic Maxwell equation Fv = 'Jv? ivE=p/ f=e-xor(! iii) g2A =J iv) aJ=0 v) None of the above i.e. all are consequences. i) Which is not true about the Compton wavenumber? i) It is given by mc/h. ii) It is zero for a wave satisfying the d'Alembert equation. iii) The corresponding wave would violate causality if its corresponding mass were imaginary. iv) It is nonzero only for fields with spin 1/2 None of the above i.e. all are true j Which of the following facts is not true about the Dirac current jp? i Its O-component is positive definite ii) Its conservation is related to a gauge symmetry iii) It is proportional to. iv) Its divergencelessness is related to conservation of probability. v None of the above i.e. all are true
