Numerade

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Rewrite the number or expression as requested. 2.79 \cdot 10^{-4} (Rewrite as a standard numeral.) 0.0000279 0.000279 -279,000 0.00279

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Part 2: Calculation of volt\textasciicircum{\textasciicircum}DORIN>tput 5 15V The single-stage BJT amplifier in Figure 2 is identical to the amplifier in Figure 1, except for the addition of the emitter bypass capacitor. Note that the dc analysis for the two amplifiers is identical (so no need to recalculate). However, the addition of emitter bypass capacitor increases the gain to > 100. Assume that the input voltage to the amplifier is a 60 mV (peak), 5 kHz sinusoidal signal, measure the output voltage and voltage gain for circuit Figure 2. Analyze the circuit and then complete Table 1 section relevant to Figure 2. R R Vo Signal Generator \nu 10 \mu F 10 \mu F 50 \Omega \nu RE R3 Load 100 \mu F Figure 2: BJT CE Amplifier with emitter bypass capacin HAND CALCULATIONS (Gain, $V_o$, and $R_{in}$) for Figure 2 Upon completion of calculations, do Multisim simulations and record the results in Table 1. R 500 $R_{IB}$ $\Gamma_{\pi} = 16.244 \Omega$ 3RL V $R_{OZ}$ $A_{CE} = \frac{g_m}{1 + g_m R_E} \left( \frac{R_{A} \parallel R_{IB}}{R_I + R_{A} \parallel R_{IB}} \right) = \frac{-10(16m)(18.03k)}{1 + 10(16m)(0)} = \frac{103.125 \text{k} \parallel 18.244}{50 - 103.125 \text{k} \parallel 16.244}$ $=-182.5$ $R_{in} = 150k \parallel 3 \text{k} \Omega \parallel 16.24 \text{k} \Omega$ $= 14.03k \Omega$ prification)}

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QUESTION 2: [5 Marks] Consider the experiment to determine the wavelength using the diffraction grating. (a) Why is it necessary that the parallel light from the collimator falls normally onto the diffraction grating? (2) (b) Briefly explain with the aid of sketches how the spectrometer is set up so that the parallel light from the collimator does fall normally onto the grating. (3)

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An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 6500 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results. (a) The probability using the binomial distribution is (Round to five decimal places as needed.)

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Write a complete program to do the following: The main program calls a method to read in (from an input file) a set of people's three-digit ID numbers and their donations to a charity (hint: use parallel arrays). Then the main program calls a method to sort the ID numbers into numerical order, being sure to carry along the corresponding donations. The main program then calls a method to print the sorted lists, giving both ID numbers and donations. Here are the details: a) The main program calls a method to read in the data from a file. The data consists of sets of data, each of which contains a person's three-digit integer ID number and a donation in dollars and cents (e.g., 456 200.00 or 123 302.34). The file is read until end-of-file is reached. The method returns how many sets of data were read in. The main program calls the return value donorCount. b) The printing method prints the original set of data in the form of a neat table. When the arrays print, there should be an overall heading, plus headings for the columns of ID numbers and donations. c) Then the main program sends the array of ID numbers, the array of donations, and the size donorCount to a sorting method. This method sorts the ID numbers into numerical order using a selection sort. For example, if the array contains [456, 123], it should be sorted to [123, 456]. The corresponding donations should also be rearranged accordingly. When the sorting method finishes and returns control to the main program, the main program calls the printing method to once again print the two arrays. d) Next, the main program sends the same three parameters to the second sorting method, which sorts the donations into numerical order using a bubble sort, being sure to maintain the linkup of ID numbers and donations. Once again, the main program calls the printing method to print the two arrays with appropriate headings. Your arrays should have room for up to 50 entries. To test the program, have a set of data with at least 15 to 20 values in each array. Make sure that your original order is not close to numerical order for either array and that the two numerical orders are not close to each other.

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An electric dipole is placed above an infinitely large grounded metal plate. You can calculate the potential in the upper space by the method of image charge. How many image charges you need to choose in order to calculate the potential above the plane? Three Two Four One Eight Grounded metal

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An equipment has an expected life of 10 years and a salvage value of 6.633% of the first cost at the end of its life. If it has a book value of P176,742.00 at the end of the 6th year, how much is the first cost of the machine if the declining balance method is used in the computation for its depreciation?

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The graph above is a transformation of the function $f(x) = |x|$. Write an equation for the function graphed above. $g(x) = $

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lim tan x 47 lim Csc !

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Solve the following equation for $b$. You may assume all variables are positive, so do not use $\pm$ or absolute values. $3g = Db^2 - f$

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