FUND.OF ELECTRIC CIRCUIT(LL)-PACKAGE
6th Edition
ISBN: 9781260263794
Author: Alexander
Publisher: MCG
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Chapter 15, Problem 1P
To determine
Find the Laplace transform of
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the following statements given, write if each statement is true or false.
a. If the complex frequency domain function, F(s), is derived using a “One-sided” Laplace Transform, the inverse of that function, f(t), is only valid for t ≥ 0.
b. When using an ideal transformer, if voltage increases from primary side to secondary side, current also increases from primary side to the secondary side.
c. Initial value theorem states that the initial value of a time function f(t) can be obtained from its Laplace Transform F(s) by multiplying the transform by s and letting s approach zero.
..
Use Laplace transform to find ?(?) of the circuit, where ??=0.5cos40?.
Derive the Laplace Transform of the following functions:
sin(bt)
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Chapter 15 Solutions
FUND.OF ELECTRIC CIRCUIT(LL)-PACKAGE
Ch. 15.2 - Prob. 1PPCh. 15.2 - Prob. 2PPCh. 15.3 - Prob. 3PPCh. 15.3 - Prob. 4PPCh. 15.3 - Prob. 5PPCh. 15.3 - Prob. 6PPCh. 15.3 - Obtain the initial and the final values of...Ch. 15.4 - Prob. 8PPCh. 15.4 - Find f(t) if F(s)=48(s+2)(s+1)(s+3)(s+4)Ch. 15.4 - Obtain g(t) if G(s)=s3+2s+6s(s+1)2(s+3)
Ch. 15.4 - Find g(t) given that G(s)=20(s+1)(s2+4s+13)Ch. 15.5 - Graphically convolve the two functions in Fig....Ch. 15.5 - Given g(t) and f(t) in Fig. 15.20, graphically...Ch. 15.5 - Use convolution to find vo(t) in the circuit of...Ch. 15.6 - Prob. 15PPCh. 15.6 - Prob. 16PPCh. 15 - Prob. 1RQCh. 15 - Prob. 2RQCh. 15 - Prob. 3RQCh. 15 - Prob. 4RQCh. 15 - Prob. 5RQCh. 15 - If F(s) = 1/(s + 2), then f(t) is (a) e2t u(t) (b)...Ch. 15 - Prob. 7RQCh. 15 - Prob. 8RQCh. 15 - Prob. 9RQCh. 15 - Prob. 10RQCh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Find F(s) if: (a) ft=6etcosh2t (b) ft=3te2tsinh4t...Ch. 15 - If g(t) = 4e 2t cos 4t, find G(s).Ch. 15 - Prob. 13PCh. 15 - Prob. 14PCh. 15 - Prob. 15PCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Design a problem to help other students better...Ch. 15 - Let F(s)=18(s+1)(s+2)(s+3) (a) Use the initial and...Ch. 15 - Determine the initial and final values of f(t), if...Ch. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - Prob. 29PCh. 15 - Prob. 30PCh. 15 - Find f(t) for each F(s): (a) 10ss+1s+2s+3 (b)...Ch. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - Prob. 34PCh. 15 - Obtain f(t) for the following transforms: (a)...Ch. 15 - Prob. 36PCh. 15 - Prob. 37PCh. 15 - Prob. 38PCh. 15 - Determine f(t) if: (a)...Ch. 15 - Show that...Ch. 15 - Prob. 41PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Given h(t) = 4e2tu(t) and x(t) = (t) 2e 2tu(t),...Ch. 15 - Given the following functions...Ch. 15 - A system has the transfer function...Ch. 15 - Find f(t) using convolution given that: (a)...Ch. 15 - Prob. 49PCh. 15 - Prob. 50PCh. 15 - Given that v(0) = 5 and dv(0)/dt = 10, solve...Ch. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 55PCh. 15 - Solve for v(t) in the integrodifferential equation...Ch. 15 - Prob. 57PCh. 15 - Given that dvdt+2v+50tv()d=4u(t) with v(0) = 1,...Ch. 15 - Solve the integrodifferential equation...Ch. 15 - Prob. 60P
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- In the following circuit, R=1 [ohm], C=1[F], and all initial values are 0. 1. Using Laplace Transform, find the ratio H(s)=Vo(s)/Vi(s).2. Find the roots of the characteristic equation.3. Find the conditions for K which will make the circuit over-damped and under-damped, respectively.4. When K=2, vi(t)=sqrt(10)cost, find vo(t) after a long time has passed.arrow_forward1. Find the Laplace transform of the given functions, where a and b are constants a) eat sinh bt b) eat cosh btarrow_forwardFind out the Laplace transform of the unit step function?arrow_forward
- Derive the Laplace transform for the full-rectified waveform fFR (t) in figure 2 belowarrow_forwardFormulate and solve the 2nd order homogeneous differential equation for node voltage v(t). Given that the constant source current, resistor, capacitor and inductor are 10A, 12ohm, 6F and 64H, respectively. Use Laplace Transform to solve the differential having an initial condition, v’(0) = 1, v(0)=0.arrow_forwardusing the representative equation and Laplace transform to calculate i, for t>0, if the circuit is steady state at t=0- template: 2 + 10e^(-t) - 10e^(-4t) Aarrow_forward
- Evaluate the inverse z-transform of of the functions given below by the three methods described in the text: E(z)=0.5z/(z-1)(z-0.6)arrow_forwardI. Find the Laplace transform of each of the following functions and simplify the result. Apply the long method.2. f(t) = t2arrow_forwardFind the general solution of the second order differential equation with constant coefficients, the non-homogeneous differential equation by Laplace Transform?arrow_forward
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