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+ V - 1) Considering the circuit, using Laplace: Find (V(t)). Find Ir(t). 1(] 1 [H]...
Using Laplace transforms calculate the i(t) and the v(t) for the following circuit. iCt) 3Ω 1...
Using Laplace transforms calculate the i(t) and the v(t) for the
following circuit.
iCt) 3Ω 1 H
8 H 2 Q iL Vs (t 22 1. vs (t) 2 V; this is a...
8 H 2 Q iL Vs (t 22 1. vs (t) 2 V; this is a dc source. Solve using a simple circuit analysis method 2. Us (t) 2u (t) V; solve by writing and solving the differential equation for the circuit, as in Ch. 8. You = = 0 for t0. can assume that ir 2u (t) V; solve using the Thévenin method, as in Ch. 8. You can assume that i, = 0 for t< 0. 3. vg...
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...
For the circuit shown in fig 2, Apply Laplace transform to find i) i1(t) and iz(t)...
For the circuit shown in fig 2, Apply Laplace transform to find i) i1(t) and iz(t) ii) Apply the initial and final value theorem iii) Explain your answer in part ii 10 12 100 V 30.02 H 350
142 ?? 1 2 10 cos Volt I H In the above circuit, v(0)7 V for...
142 ?? 1 2 10 cos Volt I H In the above circuit, v(0)7 V for all pacitors, and i (0)4 A a) Draw the qual circuit is S-domain considering the initial conditions. b) find V2(s) and then V(t) using nodal analysis.
1. Find the Laplace transforms of these functions: r(t) = tu(t), that is, the ramp function;...
1. Find the Laplace transforms of these functions: r(t) = tu(t), that is, the ramp function; Ae-atu(t); Be atu(t). 2. Determine the Laplace transform of f(t) = 50cos ot u(t). 3. Obtain the Laplace transform of f(t) = (cos (2t) + e 41) u(t). 4. Find the Laplace transform of u(t-2). 5. Find vo(t) in the circuit shown below, assuming zero initial conditions. IH F + 10u(i) 42 v. (1)
Q2. Employ Laplace transform to determine the transfer function of the following circuit h(t)=vo(t)/io(t) 12 2s...
Q2. Employ Laplace transform to determine the transfer function of the following circuit h(t)=vo(t)/io(t) 12 2s V(s) 2 + to, 40
no laplace transformation!!!! 2. Find v. (() in the circuit shown in Figure 2. 102 C...
no
laplace transformation!!!!
2. Find v. (() in the circuit shown in Figure 2. 102 C 350 H 10 mFt volt) Fig. 2
a. (10) For the circuit below, draw the s-domain equivalent circuit and show that H(S) =...
a. (10) For the circuit below, draw the s-domain equivalent circuit and show that H(S) = 2 2 . 2321H 0.5F V b. (10) Using Inverse Laplace Transforms, find the impulse response (1) c. (5) Briefly tell me in your own words what an impulse response is. d. (15) For an input, vt) = 2e- Transforms to find vo(t). use Laplace Transforms to find V.(s) and then use Inverse Laplace e. (5) Briefly discuss how convolution could have been used...
1 For the circuit below, use the Laplace transform to a. Find the total response, y(t),...
1 For the circuit below, use the Laplace transform to a. Find the total response, y(t), for V.(o) 1v, () (4 points) b. Identify the zero-input, yo(t), and the zero-state, Vn(t), responses. (4 points) IH lf
Using Laplace transforms calculate the i(t) and the v(t) for the
following circuit.
iCt) 3Ω 1 H
8 H 2 Q iL Vs (t 22 1. vs (t) 2 V; this is a dc source. Solve using a simple circuit analysis method 2. Us (t) 2u (t) V; solve by writing and solving the differential equation for the circuit, as in Ch. 8. You = = 0 for t0. can assume that ir 2u (t) V; solve using the Thévenin method, as in Ch. 8. You can assume that i, = 0 for t< 0. 3. vg...
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...
For the circuit shown in fig 2, Apply Laplace transform to find i) i1(t) and iz(t) ii) Apply the initial and final value theorem iii) Explain your answer in part ii 10 12 100 V 30.02 H 350
142 ?? 1 2 10 cos Volt I H In the above circuit, v(0)7 V for all pacitors, and i (0)4 A a) Draw the qual circuit is S-domain considering the initial conditions. b) find V2(s) and then V(t) using nodal analysis.
1. Find the Laplace transforms of these functions: r(t) = tu(t), that is, the ramp function; Ae-atu(t); Be atu(t). 2. Determine the Laplace transform of f(t) = 50cos ot u(t). 3. Obtain the Laplace transform of f(t) = (cos (2t) + e 41) u(t). 4. Find the Laplace transform of u(t-2). 5. Find vo(t) in the circuit shown below, assuming zero initial conditions. IH F + 10u(i) 42 v. (1)
Q2. Employ Laplace transform to determine the transfer function of the following circuit h(t)=vo(t)/io(t) 12 2s V(s) 2 + to, 40
no
laplace transformation!!!!
2. Find v. (() in the circuit shown in Figure 2. 102 C 350 H 10 mFt volt) Fig. 2
a. (10) For the circuit below, draw the s-domain equivalent circuit and show that H(S) = 2 2 . 2321H 0.5F V b. (10) Using Inverse Laplace Transforms, find the impulse response (1) c. (5) Briefly tell me in your own words what an impulse response is. d. (15) For an input, vt) = 2e- Transforms to find vo(t). use Laplace Transforms to find V.(s) and then use Inverse Laplace e. (5) Briefly discuss how convolution could have been used...
1 For the circuit below, use the Laplace transform to a. Find the total response, y(t), for V.(o) 1v, () (4 points) b. Identify the zero-input, yo(t), and the zero-state, Vn(t), responses. (4 points) IH lf
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