Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Textbook Question
Chapter 9, Problem 2E
Element values of 10 mF and 2 nH are employed in the construction of a simple source-free parallel RLC circuit. (a) Select R so that the circuit is just barely overdamped. (b) Write the equation for the resistor current if its initial value is iR(0+) = 13 pA and
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Assignment: RL & RC Circuits.
R
Figure 1: RL Circuit
1.
In an RL series circuit containing only a resistor and
inductor, Kirchhop's second
law states that the sum of the voltage drop across the inductor(Ldi/dt) and the voltage
drop across the resistor (iR) is the same as the impressed voltage (E(t)) on the circuit.
The current i(t), called the response of the system, is governed by a differential
equation
di
L + Ri = E(t)
'dt
where L and R are constants known as inductance and the resistance respectively.
Based on the above equation, solve the following:
(a) A 12-volt battery is connected to a series in which the inductance is 0.5 henry and
the resistance is 10 ohms. Determine the current i if the initial current is zero.
Then determine the steady-state current for the system.
Ans: i(t) = (1 –e-201)
%3D
(b) An electromotive force
0 20
120,
E(t) = { 0,
is applied to an LR series circuit in which the inductance is 20 henry and the
resistance is 2 ohms. Find the current i(t) if i(0) = 0.…
he current in the RL-circuit shown below is
i(t) = 10 cos(5t- T/4)A.
%3D
The value of the inductor (rounded off to two
H.
R
decimal places) is
(t)
w-
200cos(5t) V
1.
The series RLC circuit of Figure Q3 contains a resistor
of R=202, an inductor of L=10MH and a capacitor of
C=600µF. The supply is 24V, 50HZ.
R L
C
Figure Q3
Using your calculated current that flows through the
circuit of Figure Q3, calculate the following:
The voltage across the inductor (magnitude and angle)
The voltage across the capacitor (magnitude and angle).
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At resonance, what is the total impedance of the circuit?
A three-phase balanced load of phase impedance with
magnitude 200 Q and power factor 0.5 is connected in
delta. This load is connected to a 420 V (line voltage),
50 Hz, 3-phase supply. Calculate:
The magnitude of the phase voltage,
The load phase angle
The magnitudes and phase angles of each load current.
(The angle of phase voltage 1 = 25°)
Chapter 9 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 9.1 - A parallel RLC circuit contains a 100 2 resistor...Ch. 9.2 - After being open for a long time, the switch in...Ch. 9.2 - Prob. 3PCh. 9.2 - Prob. 4PCh. 9.3 - (a) Choose R1 in the circuit of Fig. 9.14 so that...Ch. 9.4 - Prob. 6PCh. 9.5 - Prob. 7PCh. 9.5 - Prob. 8PCh. 9.6 - Let is = 10u(t) 20u(t) A in Fig. 9.31. Find (a)...Ch. 9.6 - Let vs = 10 + 20u(t) V in the circuit of Fig....
Ch. 9.7 - Alter the capacitor value and voltage source in...Ch. 9 - For a certain source-free parallel RLC circuit, R...Ch. 9 - Element values of 10 mF and 2 nH are employed in...Ch. 9 - If a parallel RLC circuit is constructed from...Ch. 9 - Prob. 4ECh. 9 - You go to construct the circuit in Exercise 1,...Ch. 9 - A parallel RLC circuit has inductance 2 mH and...Ch. 9 - Prob. 7ECh. 9 - A parallel RLC circuit has R = 1 k, L = 50 mH. and...Ch. 9 - Prob. 9ECh. 9 - Prob. 10ECh. 9 - The current flowing through a 5 resistor in a...Ch. 9 - For the circuit of Fig.9.40, obtain an expression...Ch. 9 - Consider the circuit depicted in Fig. 9.40. (a)...Ch. 9 - With regard to the circuit represented in Fig....Ch. 9 - (a) Assuming the passive sign convention, obtain...Ch. 9 - With regard to the circuit presented in Fig. 9.42,...Ch. 9 - Obtain expressions for the current i(t) and...Ch. 9 - FIGURE 9.43 Replace the 14 resistor in the...Ch. 9 - Design a complete source-free parallel RLC circuit...Ch. 9 - For the circuit represented by Fig. 9.44, the two...Ch. 9 - Prob. 21ECh. 9 - Prob. 22ECh. 9 - A critically damped parallel RLC circuit is...Ch. 9 - A source-free parallel RLC circuit has an initial...Ch. 9 - A critically damped parallel RLC circuit is...Ch. 9 - For the circuit of Fig. 9.45, is(t) = 30u(t) mA....Ch. 9 - Prob. 27ECh. 9 - The circuit of Fig. 9.44 is rebuilt such that the...Ch. 9 - Prob. 29ECh. 9 - Prob. 30ECh. 9 - The source-free circuit depicted in Fig. 9.1 is...Ch. 9 - (a) Graph the current i for the circuit described...Ch. 9 - Analyze the circuit described in Exercise 31 to...Ch. 9 - A source-free parallel RLC circuit has capacitance...Ch. 9 - Prob. 35ECh. 9 - Obtain an expression for vL(t), t 0, for the...Ch. 9 - For the circuit of Fig. 9.47, determine (a) the...Ch. 9 - (a) Design a parallel RLC circuit that provides a...Ch. 9 - The circuit depicted in Fig. 9.48 is just barely...Ch. 9 - When constructing the circuit of Fig. 9.48, you...Ch. 9 - The circuit of Fig. 9.22a is constructed with a...Ch. 9 - Prob. 42ECh. 9 - Prob. 43ECh. 9 - The simple three-element series RLC circuit of...Ch. 9 - Prob. 45ECh. 9 - Prob. 46ECh. 9 - Prob. 47ECh. 9 - With reference to the series RLC circuit of Fig....Ch. 9 - Obtain an expression for i1 as labeled in Fig....Ch. 9 - The circuit in Fig. 9.52 has the switch in...Ch. 9 - For the circuit in Fig. 9.52, determine the value...Ch. 9 - In the series circuit of Fig. 9.53, set R = 1 ....Ch. 9 - Evaluate the derivative of each current and...Ch. 9 - Consider the circuit depicted in Fig. 9.55. If...Ch. 9 - Prob. 55ECh. 9 - In the circuit shown in Fig. 9.56, (a) obtain an...Ch. 9 - Prob. 57ECh. 9 - For the circuit represented in Fig. 9.57, (a)...Ch. 9 - FIGURE 9.57 Replace the 1 resistor in Fig. 9.57...Ch. 9 - A circuit has an inductive load of 2 H, a...Ch. 9 - (a) Adjust the value of the 3 resistor in the...Ch. 9 - Determine expressions for vC(t) and iL(t) in Fig....Ch. 9 - The capacitor in the LC circuit in Fig. 9.60 has...Ch. 9 - Suppose that the switch in the circuit in Fig....Ch. 9 - The capacitor in the circuit of Fig. 9.63 is set...Ch. 9 - The physical behavior of automotive suspension...Ch. 9 - A lossless LC circuit can be used to provide...
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