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Question: a 6 nc b 10 nc tau ...

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!from q 01 Cross- secon 大 It is unnecessary to include this document in your homework submittal iven: l. The charge, q(t), over 0 1 11 (seconds), İs given by: q(t) = A + Be〒 Coulombs. Refer to the lecture for the definti of (l) 2. The constants A, B, T, and t1 are given in the parameter file for this problem ECE-2010-Hol-i-from-q-01-parameters.txt is found at the link Homework Assignment Table Parameters near the top of the 3. Refer to the document: 0_SI_Prefixes_Table.pdf in the Parameters directory to interpret the unit prefixes Do:. All calculations and plots in both parts a) and b) must be done manually a) Plot q(t) in Coulombs over OSt <ti seconds. It is not necessary to list the points in a table that you use for the plot. You should (though not required to do so) put a dot on your plot for each point calculated and sketch by free-hand a smooth curve through those points. This part is worth 5 points out of the total available for this problem. Yo need to plot many more than 5 points to produce a reasonably smooth curve!) b) Find i(t) in Amps over 0<t<t seconds. (This component, Find, of part b) is worth 10 points) and plot i(t) in Amps over 0< t<t seconds by hand. (This component, Plot, of part b) is worth 5 points.) The same recommendations for plotting in part a) apply here as well Express the answer to the Find part of b) as i(1) = C + De--Amps 0 < 1 < 11 over seconds For example, if C-4.3915 x 10-4, D - 840.008 x 10-5, T0.006 3835 x 104, and if t is given as 2.5 usec, (Note that these numbers have all been made up only for demonstration purposes, and at this stage these numbers are not in the format required for the final answer.) then the final answer would be properly expressed (with the numbers that are shown in the expression in Engincering Numcral Format) as: i(t) =-439.2 × 10-6 8.4 × 10-3e-638.35x 10T Amps 0 < t < 2.5 × 10-6 seconds over Be sure to follow the Homework Format and Plot Format requirements shown in the course syllabus web pages There will be no second chances to recover points if you neglect to follow those requirements. If the requirements are ambiguous, then let me know. Otherwise, I will not pre-check your work before you submit it See the next page for Hints.

lints: 1. Exponential functions are ubiquitous in Electrical Engineering as well as all areas of engineering. You might need to review fundamental relationships of exponential functions along with calculus associated with expressions involving exponential functions dq(t) dt 2. Use the relationship i(1) and the given information for q(t) to obtain the answer to Find i(t) in ar 3. You might notice that the end points on t for q(t) include the end values of t, i.e. in mathematical parlance the interval is closed: 「0.til. However, the end points of t for i(t) do not include the end values of t· i.e. İn mathematical parlance the interval is open (0,ti). For a derivative to be properly defined, then the slope of a function (in this case, q(t)) must converge to the same value when approaching from both sides of a point. One of the characteristics of a function like q(t), is that will be continuous for all values of t. This means that q(t) will not jump vertically at any value of t. However, the derivative of q(t) may not exist for some points in time, t, since the slope of q(t) may suddenly change at a point in t. This concept will reoccur in several instances in Electrical Engineering 4. For the Plots required in parts a) and b), calculate a large enough number of values of q(t) over 0 tsti and i(t) 0< t <t1 so that the exponential curves appear smooth when you draw a curve through them by freehand. It is not required that you list values in a table you used to render the plots 5. Finally, the obsessive/compulsive attitude regarding units in this class and the requirement that they be explicitly stated, stems from some incredible real-world disasters. Failure to explicitly show units or mistakes involving assumptions about units have been the downfall of many engineering endeavors. Google engineering failures due to units for many interesting examples

A = 6 nC

B = -10 nC

tau = 2 usec

t1 = 10 usec

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