![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 V, 3140 N](http://img.homeworklib.com/questions/f4405e00-b26a-11ea-a857-ff622a01e2bf.png?x-oss-process=image/resize,w_560)
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Problem 1: There is no energy stored in the circuit below at t=0 and that V,(s)...
please answer both questions Problem 3 (20 Points) There is no energy stored in the circuit...
please answer both
questions
Problem 3 (20 Points) There is no energy stored in the circuit fort <0. Use the Laplace transform to find the time domain expression for vo(t). 2002 2002 200u(t) V 10 MF 3400 mH Problem 4 (20 Points) For each circuit, calculate the transfer function, the poles of the transfer function 1204F and the zeros of the transfer function. 2 k2 20 MF 2k9 (b) 250 kA 125 mH 1) 125 mHg 250 0} (c) 800...
V. 8 ??? Given: There is no energy stored in this circuit prior to t o....
V. 8 ??? Given: There is no energy stored in this circuit prior to t o. The voltage source V, -1 R-125 ? (Ohm) Find the defined current I in the s domain. 0V for t20 L-1 H C 1 mF (milli F) I(s) (s
There is no energy stored in the circuit in the figure at the time the current...
There is no energy stored in the circuit in the figure at the
time the current source is energized.
Part A
Find Ia. Express your answer in terms
of s.
Part B
Find Ib. Express your answer in terms
of s.
Part C
Find ia.
Part D
Find ib.
Part E
Find Va.
Express your answer in terms of s.
Part F
Find Vb.
Express your answer in terms of s.
Part G
Find Vc.
Express your answer in terms...
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...
There is no energy stored in the circuit in (Figure 1) at the time the impulsive...
There is no energy stored in the circuit in (Figure 1) at the time the impulsive current is applied. Suppose that i(t) = 248(t) A. Figure < 1 of 1 > O vo(t) = (1.2 cos 100t) u(t) V O vo(t) = 24e-100+ u(t) V o vo(t) = 24e-25tu(t) V Ovo(t) = 1.2e-100+ u(t) V vo(t) = (24 cos 25t) u(t) V vo(t) = (24 cos 100t) u(t) V vo(t) = 1.2e -25+ y(t) V v.(t) = (1.2 cos 25t)...
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse...
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
Problem 8. Provide the voltage equation for the circuit components below in the s-domain Laplace). PLEASE...
Problem 8. Provide the voltage equation for the circuit components below in the s-domain Laplace). PLEASE NOTE: Each answer should be in the form of V(s)-where the blank is the Laplace transform of the voltage equation for each element. a) R=20Ω c) L= 5m1H with 1,-10.1 d) C 10uF with VoOV e) C-5pF with Vo -10V 772 WI
C1 Problem 2. Active Filter For the active filter shown in the figure a) Write the...
C1 Problem 2. Active Filter For the active filter shown in the figure a) Write the node equations by taking Laplace Transform 1/G 1/G oVolt) of the circuit first. Then simplify the equations and write your final answer in matrix form. 2 b) Find the transfer function from Vi(s) to Vo(s). Simplify it properly (the denominator should be monic) Note: Using the conductance G-1/R leads to simpler equations.
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),...
Circuit Analysis in the s-Domain 15.3. The initial voltage across the capacitor in the circuit shown in Figure P15.3 is v(0) 1 V, and the initial current through the inductor is i(0)0 mA Find th...
Circuit Analysis in the s-Domain 15.3. The initial voltage across the capacitor in the circuit shown in Figure P15.3 is v(0) 1 V, and the initial current through the inductor is i(0)0 mA Find the voltage vo (t) across the capacitor for t 2 0 Figure P15.3 50 mH 1 kS2 V. Volt) T 0.1 μF The circuit in the s-domain is shown below. R2 Va 1k 0.05s 1/(sC)-1e7/s Vo R1 2k V (0-ys 5/s 1/s 1 format long; 2...
please answer both
questions
Problem 3 (20 Points) There is no energy stored in the circuit fort <0. Use the Laplace transform to find the time domain expression for vo(t). 2002 2002 200u(t) V 10 MF 3400 mH Problem 4 (20 Points) For each circuit, calculate the transfer function, the poles of the transfer function 1204F and the zeros of the transfer function. 2 k2 20 MF 2k9 (b) 250 kA 125 mH 1) 125 mHg 250 0} (c) 800...
V. 8 ??? Given: There is no energy stored in this circuit prior to t o. The voltage source V, -1 R-125 ? (Ohm) Find the defined current I in the s domain. 0V for t20 L-1 H C 1 mF (milli F) I(s) (s
There is no energy stored in the circuit in the figure at the
time the current source is energized.
Part A
Find Ia. Express your answer in terms
of s.
Part B
Find Ib. Express your answer in terms
of s.
Part C
Find ia.
Part D
Find ib.
Part E
Find Va.
Express your answer in terms of s.
Part F
Find Vb.
Express your answer in terms of s.
Part G
Find Vc.
Express your answer in terms...
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...
There is no energy stored in the circuit in (Figure 1) at the time the impulsive current is applied. Suppose that i(t) = 248(t) A. Figure < 1 of 1 > O vo(t) = (1.2 cos 100t) u(t) V O vo(t) = 24e-100+ u(t) V o vo(t) = 24e-25tu(t) V Ovo(t) = 1.2e-100+ u(t) V vo(t) = (24 cos 25t) u(t) V vo(t) = (24 cos 100t) u(t) V vo(t) = 1.2e -25+ y(t) V v.(t) = (1.2 cos 25t)...
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
Problem 8. Provide the voltage equation for the circuit components below in the s-domain Laplace). PLEASE NOTE: Each answer should be in the form of V(s)-where the blank is the Laplace transform of the voltage equation for each element. a) R=20Ω c) L= 5m1H with 1,-10.1 d) C 10uF with VoOV e) C-5pF with Vo -10V 772 WI
C1 Problem 2. Active Filter For the active filter shown in the figure a) Write the node equations by taking Laplace Transform 1/G 1/G oVolt) of the circuit first. Then simplify the equations and write your final answer in matrix form. 2 b) Find the transfer function from Vi(s) to Vo(s). Simplify it properly (the denominator should be monic) Note: Using the conductance G-1/R leads to simpler equations.
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),...
Circuit Analysis in the s-Domain 15.3. The initial voltage across the capacitor in the circuit shown in Figure P15.3 is v(0) 1 V, and the initial current through the inductor is i(0)0 mA Find the voltage vo (t) across the capacitor for t 2 0 Figure P15.3 50 mH 1 kS2 V. Volt) T 0.1 μF The circuit in the s-domain is shown below. R2 Va 1k 0.05s 1/(sC)-1e7/s Vo R1 2k V (0-ys 5/s 1/s 1 format long; 2...
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