Reference no: EM131292469
Problem 1
The switch in the circuit shown has been in position a for a long time. At t = 0, the switch is thrown to position b.
a) Find I, V1, and V2 as rational functions of s.
b) Find the time-domain expressions for i, v1, and v2.
Problem 2
The energy stored in the circuit shown is zero at the time when the switch is closed.
a) Find the s-domain expression for I.
b) Find the time-domain expression for i when t > 0.
c) Find the s-domain expression for V.
d) Find the time-domain expression for v when t > 0.
Problem 3
The dc current and voltage sources are applied simultaneously to the circuit shown. No energy is stored in the circuit at the instant of application.
a) Derive the s-domain expressions for V1 and V2.
b) For t > 0, derive the time-domain expres-sions for v1 and v2.
c) Calculate v1(0+) and v2(0+).
d) Compute the steady-state values of v1 and v2.
Problem 4
The initial charge on the capacitor in the circuit shown is zero.
a) Find the s-domain 'Thevenin equivalent cir-cuit with respect to terminals a and b.
b) Find the s-domain expression for the current that the circuit delivers to a load consisting of a 1H inductor in series with a 2 Ω resistor.
Problem 5
There is no energy stored in the circuit in Fig. P13.27 at the time the sources are energized.
a) Find 11(s) and 12(s).
b) Use the initial- and final-value theorems to check the initial- and final-values of ii(t) and i2(t).
c) Find ii(t) and i2(t) for t 0.
Problem 6
The initial energy in the circuit in Fig. P13.29 is zero. The ideal voltage source is 600u(t) V.
a) Find Vo(s).
b) Use the initial- and final-value theorems to find vo(0+) and vo(∞).
c) Do the values obtained in (b) agree with known circuit behavior? Explain.
d) Find vo(t).
Problem 7
a) Derive the numerical expression for the transfer function Vo/Ig, for the circuit shown.
b) Give the numerical value of each pole and zero of H(s).
Problem 8
a) Find the numerical expression for the trans-fer function H(s) = Vo/Vi for the circuit in Fig. P13.49.
b) Give the numerical value of each pole and zero of H(s).
Problem 9
Find the numerical expression for the transfer function (Vo/Vi) of each circuit in Fig. P13.50 and give the numerical value of the poles and zeros of each transfer function.
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