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Electric Circuits
Introductory Circuit Theory
39 SOLVED PROBLEMS
Question: 1.5
Find the load impedance Z2 in the bridge circuit, shown in Fig. 3.39a, for maximum power transfer from the source to the load. ...
Verified Answer:
The source voltage is 0.8660 + j0.5. We have to fi...
Question: 1.4
Find the load resistance Rm in the bridge circuit, shown in Fig. 2.41a, for maximum power transfer from the source to the load. ...
Verified Answer:
We have to find the Thévenin’s equivalent voltage ...
Question: 1.3
Find the current I drawn by the bridge circuit, shown in Fig. 2.31a, from the source. ...
Verified Answer:
The circuit can be considered as the combination o...
Question: 8.3
Find the FT of the rectangular pulse v(t) = u(t) − u(t − a), where u(t) is the unit-step signal. ...
Verified Answer:
X(jω) =
\int\limits_{0}^{a}e^{-jwt}dt=\frac{...
Question: 8.2
Find the FS for a square wave defined over one period as v(t) ={1 for 0<t<π 0 for π<t<2π ...
Verified Answer:
The waveform is shown in Fig. 8.3. The period of t...
Question: 8.5
Find the FT X(jω) of the exponential signal v(t) = e^−t u(t), where u(t) is the unit-step signal. ...
Verified Answer:
X(jω) = \int_{0}^{\infty}\;{e^{-t}e^{-jwt}}...
Question: 8.7
Determine the Laplace transform of the real exponential signal, e^−at u(t) from the definition. Substitute a = 0 in the transform obtained and get the Laplace transform of the unit-step signal, u(t). ...
Verified Answer:
X(s)=\int\limits_{0-}^{\infty }{e^{-at}u(t)...
Question: 8.4
Determine the FT of the unit-impulse signal v(t) = δ(t). ...
Verified Answer:
As it encloses unit area at t = 0, we get
X...
Question: 8.6
Determine the Laplace transform of the unit-impulse signal, δ(t) from the definition. ...
Verified Answer:
X(s)=\int\limits_{0^{-} }^{\infty }{δ(t)e^...
Question: 8.8
The input voltage is the unit-step function, u(t).Assume that the series circuit consists of only the resistor with value R= 2Ω and the inductor with value L = 3 H, shown in Fig. 8.11a. Let the initial current through the inductor be zero. Find the current through the circuit and the voltage across ...
Verified Answer:
The excitation and the impedance, in the Laplace t...
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