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Problem #6 - (18%) The circuit below has initial conditions I(t=0)=0...
Problem # 1: Consider the circuit of Fig. 1: a) If vc(0) 8 V and i,(t)...
Problem # 1: Consider the circuit of Fig. 1: a) If vc(0) 8 V and i,(t) 40 S(t) mA, find Vc(s) and vc(t) fort>0 b) If ve(0) 1 V and ) 0.2 e u(t) A, find Vc(s) and v(t) fort>0 Problem #2: The circuit in Fig. 2 is at steady-state before t-0. a) Find V(s) and v(t) for t>0 b) Find I(s) and i(t) for t>0 5 S2 10 - 10u(t) V 6 H v(t) i(t). 130 F Figure 1...
Solving for The switch in the circuit below has been closed for a long time and it opens at t = 0. Find the following: f...
Solving for The switch in the
circuit below has been closed for a long time and it opens at t =
0. Find the following:
for b) can you solve it without using Laplace transform? As in
no s domain, thank you
1. The switch in the circuit below has been closed for a long time and it opens at t = 0. Find the following: (a) (20 points) v(0%), and v.(0%) for t < 0. (b) (20 points) v(t),...
6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at t-o. (a) Convert the circuit its Laplace equivalent at t >0, if ILO)-2A and vc (0)-6V. b) Find the capacitor voltage...
6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at t-o. (a) Convert the circuit its Laplace equivalent at t >0, if ILO)-2A and vc (0)-6V. b) Find the capacitor voltage, Ve (s) in the frequency domain (c) Solve Ve (t) in the time domain. Switch L= 5H t-o 15V (0 ) = 2A V (o =6V 0.1F
6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at...
Problem 2: For the circuit shown below, find the following: The expression of i(t) fort >...
Problem 2: For the circuit shown below, find the following: The expression of i(t) fort > 0. The voltage vc (t) fort > 0 Calculate the peak energy stored in the capacitor Calculate the real power dissipated in the load formed by R and C. b) d) 40 UF + 0 -V-24 Ve0 400 Hz
1) For the circuit below, a) Find i(t) fort > 0 b) Find vu(t) fort >...
1) For the circuit below, a) Find i(t) fort > 0 b) Find vu(t) fort > 0 [you can do this by using your answer to part a) and the relationship between voltage across an inductor and current through an inductor] c) Plot your answers to parts a) and b) on separate plots. I lists to V. (4) 2H 2) For the circuit below, if the capacitor is fully discharged for t < 0, a) Find i(t) fort 0 you...
(6). The quantities x(t) and y(t) satisfy the simultaneous equations dt dt dx dt where x(0)-y(0)-...
(6). The quantities x(t) and y(t) satisfy the simultaneous equations dt dt dx dt where x(0)-y(0)-ay (0)-0, and ax (0)-λ. Here n, μ, and λ are all positive real numbers. This problem involves Laplace transforms, has three parts, and is continued on the next page. You must use Laplace transforms where instructed to receive credit for your solution (a). Define the Laplace Transforms X(s) -|e"x(t)dt and Y(s) -e-"y(t)dt Laplace Transform the differential equations for x(t) and y(t) above, and incorporate...
Problem 1: There is no energy stored in the circuit below at t=0 and that V,(s)...
Problem 1: There is no energy stored in the circuit below at t=0 and that V,(s) = 600u(t). a) Using the Laplace transform method of analysis, develop a system of nodal equations for Vo(s). Put your final equations into the matrix form [G] [V] = [1] and box your answer. *hint: it helps to put your equations in a flattened form (i.e. no denominators) b) Find Vo(s) c) Find vo(1). Box your answer. 100 w 20 H YYY 100 mF...
1 point) Consider the initial value problem y" + 36y-cos(61), y(0)-6 (0)-8, a. Take the Laplace transform of both s...
1 point) Consider the initial value problem y" + 36y-cos(61), y(0)-6 (0)-8, a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) b. Solv e your equation for Y (s) Y(s) = L { y(t)) = c. Take the inverse...
(1 point) Use the Laplace transform to solve the following initial value problem: y" +12y' 85y (- 6 (0) 0, y(0)0 Use step(t-C) for ue(t). y(t) = (1/49jeAqt-6))sin(7)step(t-6) (1 point) U...
(1 point) Use the Laplace transform to solve the following initial value problem: y" +12y' 85y (- 6 (0) 0, y(0)0 Use step(t-C) for ue(t). y(t) = (1/49jeAqt-6))sin(7)step(t-6)
(1 point) Use the Laplace transform to solve the following initial value problem: y" +12y' 85y (- 6 (0) 0, y(0)0 Use step(t-C) for ue(t). y(t) = (1/49jeAqt-6))sin(7)step(t-6)
Consider the following initial value problem. y′ + 5y = { 0 t ≤ 1 10...
Consider the following initial value problem.
y′ + 5y =
{
0
t ≤ 1
10
1 ≤ t < 6
0
6 ≤ t < ∞
y(0) = 4
(a)
Find the Laplace transform of the right hand side of the above
differential equation.
(b)
Let y(t) denote the solution to the above
differential equation, and let Y((s) denote the
Laplace transform of y(t). Find
Y(s).
(c)
By taking the inverse Laplace transform of your answer to (b),
the...
Problem # 1: Consider the circuit of Fig. 1: a) If vc(0) 8 V and i,(t) 40 S(t) mA, find Vc(s) and vc(t) fort>0 b) If ve(0) 1 V and ) 0.2 e u(t) A, find Vc(s) and v(t) fort>0 Problem #2: The circuit in Fig. 2 is at steady-state before t-0. a) Find V(s) and v(t) for t>0 b) Find I(s) and i(t) for t>0 5 S2 10 - 10u(t) V 6 H v(t) i(t). 130 F Figure 1...
Solving for The switch in the
circuit below has been closed for a long time and it opens at t =
0. Find the following:
for b) can you solve it without using Laplace transform? As in
no s domain, thank you
1. The switch in the circuit below has been closed for a long time and it opens at t = 0. Find the following: (a) (20 points) v(0%), and v.(0%) for t < 0. (b) (20 points) v(t),...
6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at t-o. (a) Convert the circuit its Laplace equivalent at t >0, if ILO)-2A and vc (0)-6V. b) Find the capacitor voltage, Ve (s) in the frequency domain (c) Solve Ve (t) in the time domain. Switch L= 5H t-o 15V (0 ) = 2A V (o =6V 0.1F
6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at...
Problem 2: For the circuit shown below, find the following: The expression of i(t) fort > 0. The voltage vc (t) fort > 0 Calculate the peak energy stored in the capacitor Calculate the real power dissipated in the load formed by R and C. b) d) 40 UF + 0 -V-24 Ve0 400 Hz
1) For the circuit below, a) Find i(t) fort > 0 b) Find vu(t) fort > 0 [you can do this by using your answer to part a) and the relationship between voltage across an inductor and current through an inductor] c) Plot your answers to parts a) and b) on separate plots. I lists to V. (4) 2H 2) For the circuit below, if the capacitor is fully discharged for t < 0, a) Find i(t) fort 0 you...
(6). The quantities x(t) and y(t) satisfy the simultaneous equations dt dt dx dt where x(0)-y(0)-ay (0)-0, and ax (0)-λ. Here n, μ, and λ are all positive real numbers. This problem involves Laplace transforms, has three parts, and is continued on the next page. You must use Laplace transforms where instructed to receive credit for your solution (a). Define the Laplace Transforms X(s) -|e"x(t)dt and Y(s) -e-"y(t)dt Laplace Transform the differential equations for x(t) and y(t) above, and incorporate...
Problem 1: There is no energy stored in the circuit below at t=0 and that V,(s) = 600u(t). a) Using the Laplace transform method of analysis, develop a system of nodal equations for Vo(s). Put your final equations into the matrix form [G] [V] = [1] and box your answer. *hint: it helps to put your equations in a flattened form (i.e. no denominators) b) Find Vo(s) c) Find vo(1). Box your answer. 100 w 20 H YYY 100 mF...
1 point) Consider the initial value problem y" + 36y-cos(61), y(0)-6 (0)-8, a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) b. Solv e your equation for Y (s) Y(s) = L { y(t)) = c. Take the inverse...
(1 point) Use the Laplace transform to solve the following initial value problem: y" +12y' 85y (- 6 (0) 0, y(0)0 Use step(t-C) for ue(t). y(t) = (1/49jeAqt-6))sin(7)step(t-6)
(1 point) Use the Laplace transform to solve the following initial value problem: y" +12y' 85y (- 6 (0) 0, y(0)0 Use step(t-C) for ue(t). y(t) = (1/49jeAqt-6))sin(7)step(t-6)
Consider the following initial value problem.
y′ + 5y =
{
0
t ≤ 1
10
1 ≤ t < 6
0
6 ≤ t < ∞
y(0) = 4
(a)
Find the Laplace transform of the right hand side of the above
differential equation.
(b)
Let y(t) denote the solution to the above
differential equation, and let Y((s) denote the
Laplace transform of y(t). Find
Y(s).
(c)
By taking the inverse Laplace transform of your answer to (b),
the...
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