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Maslowich
3 years ago
6

: Suppose you’re trying to measure an unknown sensor resistance, ????????????????????o???? , by converting it to a voltage. For

a fixed set of values of ????1 ,????1 ,???????????? and ????????????, each of the following circuits will yield an output voltage, ????o , as function of ????????????????????o???? . a. [10 points] For each of these circuits, write the equations relating ????o to ????????????????????o???? . b. [10 points] Find the sensitivity for each of these circuits (note that the sensitivities for some of these circuits may not be constants).
Engineering
1 answer:
statuscvo [17]3 years ago
7 0

Answer:

(a) R₁ / (R₁ + R_{sensor})

(b) -R_{sensor} / (R₁ + R_{sensor})

Explanation:

(a)

i - Using voltage division rule =

v₀ = v₁ [R_{sensor} / (R₁+R_{sensor})]

The sensitivity is

ii - \int\limits^{vo}_{Rsensor} = dv₀/dR_{sensor}  *  R_{sensor}/v₀

                = R₁ / (R₁ + R_{sensor})

(b)

i - Using voltage divisor rule = v₀ = v₁ [R_{sensor} / (R₁+R_{sensor})]

ii - \int\limits^{vo}_{Rsensor} =  dv₀/dR_{sensor}  *  R_{sensor}/v₀

               = -R_{sensor} / (R₁ + R_{sensor})

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Suppose that on your 21st birthday you are given a $1,000,000 trust fund. If you can earn 4% in annual compound interest, how mu
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Answer:

annual payment  =  $40000

Explanation:

given data

annual compound interest = 4%

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annual payment

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annual payment  = fund value × annual compound interest  ..................1

put here value we get

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annual payment  = 0.04 × $1,000,000  

annual payment  =  $40000

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3 years ago
PythonA group of statisticians at a local college has asked you to create a set of functionsthat compute the median and mode of
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Answer:

  1. def median(l):
  2.    if(len(l) == 0):
  3.       return 0
  4.    else:
  5.        l.sort()
  6.        if(len(l)%2 == 0):
  7.            index = int(len(l)/2)
  8.            mid = (l[index-1] + l[index]) / 2
  9.        else:
  10.            mid = l[len(l)//2]  
  11.        return mid  
  12. def mode(l):
  13.    if(len(l)==0):
  14.        return 0
  15.    mode = max(set(l), key=l.count)
  16.    return mode  
  17. def mean(l):
  18.    if(len(l)==0):
  19.        return 0
  20.    sum = 0
  21.    for x in l:
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  23.    mean = sum / len(l)
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  26. print(mean(lst))
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  28. print(mode(lst))

Explanation:

Firstly, we create a median function (Line 1). This function will check if the the length of list is zero and also if it is an even number. If the length is zero (empty list), it return zero (Line 2-3). If it is an even number, it will calculate the median by summing up two middle index values and divide them by two (Line 6-8). Or if the length is an odd, it will simply take the middle index value and return it as output (Line 9-10).

In mode function, after checking the length of list, we use the max function to estimate the maximum count of the item in list (Line 17) and use it as mode.

In mean function,  after checking the length of list,  we create a sum variable and then use a loop to add the item of list to sum (Line 23-25). After the loop, divide sum by the length of list to get the mean (Line 26).

In the main program, we test the three functions using a sample list and we shall get

20.5

12.5

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