Question

In: Electrical Engineering

From 1+K*L(s)=0 L(s) = 1/((s+1)(s+2)(s+10)) Solve for gain K where the root locus passes through the...

From 1+K*L(s)=0

L(s) = 1/((s+1)(s+2)(s+10))

Solve for gain K where the root locus passes through the damping ratio. z=0.176. With out Matlab. Please show all work.

Note: I know we need to use some trig and the magnitude criteria but u cannot seem to figure it out. Thank you!

Solutions

Expert Solution


Related Solutions

Construct the root locus for k>0 for the linear control system with the following characteristic equation...
Construct the root locus for k>0 for the linear control system with the following characteristic equation s^3+3*s^2+(K+2)*s+5K=0 b) Using Routh criteria find the range of K to keep the system stable
Bridget's Brewery production function is given by y(K, L) = 2 root of KL, where K...
Bridget's Brewery production function is given by y(K, L) = 2 root of KL, where K is the number of vats she uses and L is the number of labor hours. Does this production process exhibit increasing, constant or decreasing returns to scale?  
?(?) = (? + 5)/[s(s+2)(s^2+6s+10)] Sketch the root locus by hand. You may verify your sketch...
?(?) = (? + 5)/[s(s+2)(s^2+6s+10)] Sketch the root locus by hand. You may verify your sketch using MATLAB but you must show sufficient intermediate work for sketching. Use MATLAB to identify the proportional controller value (to the tenth decimal point) that would cause your system to be unstable. Be sure to show evidence of this value. Plot your system response due to a step input for this controller.
Find the line that passes through the point (0, 1) and through the point of intersection...
Find the line that passes through the point (0, 1) and through the point of intersection of the two lines  and
A firm has the following long run production function x = a(K^1/2)(L^1/2)(P^1/4), where a > 0...
A firm has the following long run production function x = a(K^1/2)(L^1/2)(P^1/4), where a > 0 is a constant and K, L , P are inputs of the three factors. The prices of K, L , P are Rs. 1 , Rs. 9 and Rs. 8 respectively. a) Derive the firm’s long run total cost function , long run average cost function and long run marginal cost function. Show the workings in detail b) In the short run P is...
Joe’s coffee house operates under the production function Q(L,K) = ln(L^2 ) + K^1/2 , where...
Joe’s coffee house operates under the production function Q(L,K) = ln(L^2 ) + K^1/2 , where L is the number of worker hours and K is the number of coffee machine hours. What happens to the marginal rate of technical substitution as Joe substitutes labor for capital, holding output constant? What does this imply about the shape of the corresponding isoquants? Justify. What happens to the marginal product of labor as Joe uses more labor, holding capital constant? What does...
# O W L S f(O,W,L,S) 0 0 0 0 0 0 1 0 0 0...
# O W L S f(O,W,L,S) 0 0 0 0 0 0 1 0 0 0 1 0 2 0 0 1 0 1 3 0 0 1 1 1 4 0 1 0 0 0 5 0 1 0 1 1 6 0 1 1 0 1 7 0 1 1 1 X 8 1 0 0 0 0 9 1 0 0 1 0 10 1 0 1 0 0 11 1 0 1 1 1 12 1...
Given the differential equation y''+y'+2y=0,  y(0)=−1,  y'(0)=2y′′+y′+2y=0,  y(0)=-1,  y′(0)=2 Apply the Laplace Transform and solve for Y(s)=L{y}Y(s)=L{y}. You do not...
Given the differential equation y''+y'+2y=0,  y(0)=−1,  y'(0)=2y′′+y′+2y=0,  y(0)=-1,  y′(0)=2 Apply the Laplace Transform and solve for Y(s)=L{y}Y(s)=L{y}. You do not need to actually find the solution to the differential equation.
Suppose a production function is given by  F ( K , L ) = K^(1/2) L^(1/2), the...
Suppose a production function is given by  F ( K , L ) = K^(1/2) L^(1/2), the price of capital “r” is $16, and the price of labor “w” is $16. a. (5) What combination of labor and capital minimizes the cost of producing 100 units of output in the long run? b. (5) When r falls to $1, what is the minimum cost of producing 100 pounds of pretzels in the short run? In the long run? c. (5) When...
Consider a firm whose production is given by Q(K, L) = K^1/3L^1/3, where K and L...
Consider a firm whose production is given by Q(K, L) = K^1/3L^1/3, where K and L are, respectively, the quantities of capital and labour production inputs. Prices of capital and labour are both $1 per unit. (a) Derive and interpret the firm’s demand functions for capital and labour. (b) Derive and interpret the firm’s Long-Run Cost Function. (c) In the long-run, if the firm wished to produce 16 units of output, what quantities of capital and labour would it optimally...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT