Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 7, Problem 43P
Consider the circuit in Fig. 7.110. Find i(t) for t < 0 and t > 0.
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For a band-rejection filter, the response drops below this half power point at two locations as visualised in Figure 7, we need to find these
frequencies. Let's call the lower frequency-3dB point as fr and the higher frequency -3dB point fH. We can then find out the bandwidth as
f=fHfL, as illustrated in Figure 7.
0dB
Af
-3 dB
Figure 7. Band reject filter response diagram
Considering your AC simulation frequency response and referring to Figure 7, measure the following from your AC simulation. 1% accuracy:
(a) Upper-3db Frequency (fH) =
Hz
(b) Lower-3db Frequency (fL) =
Hz
(c) Bandwidth (Aƒ) =
Hz
(d) Quality Factor (Q) =
P 4.4-21 Determine the values of the node voltages V1, V2, and
v3 for the circuit shown in Figure P 4.4-21.
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1. What is the theoretical attenuation of the output voltage at the resonant frequency? Answer to within 1%, or enter 0, or infinity (as “inf”)
Attenuation =
Chapter 7 Solutions
Fundamentals of Electric Circuits
Ch. 7.2 - Refer to the circuit in Fig. 7.7. Let vC (0) = 60...Ch. 7.2 - If the switch in Fig. 7.10 opens at t = 0, find...Ch. 7.3 - Find i and vx in the circuit of Fig. 7.15. Let...Ch. 7.3 - For the circuit in Fig. 7.18, find i(t) for t 0....Ch. 7.3 - Determine i, io, and vo for all t in the circuit...Ch. 7.4 - Express the current pulse in Fig. 7.33 in terms of...Ch. 7.4 - Refer to Fig. 7.39. Express i(t) in terms of...Ch. 7.4 - If h t = 0, t0 4, 0t2 3t8, 2t6 0, t6 express h(t)...Ch. 7.4 - Practice Problem 7.9 Evaluate the following...Ch. 7.5 - Find v(t) for t 0 in the circuit of Fig. 7.44....
Ch. 7.5 - The switch in Fig. 7.47 is closed at t = 0. Find...Ch. 7.6 - The switch in Fig. 7.52 has been closed for a long...Ch. 7.6 - Switch S1 in Fig. 7.54 is closed at t = 0, and...Ch. 7.7 - For the op amp circuit in Fig. 7.56, find vo for t...Ch. 7.7 - Find v(t) and vo(t) in the op amp circuit of Fig....Ch. 7.7 - Obtain the step response vo(t) for the circuit in...Ch. 7.8 - For the circuit in Fig. 7.66, use Pspice to find...Ch. 7.8 - The switch in Fig. 7.71 was open for a long time...Ch. 7.9 - The RC circuit in Fig. 7.74 is designed to operate...Ch. 7.9 - The flash unit of a camera has a 2-mF capacitor...Ch. 7.9 - A relay has a resistance of 200 and an inductance...Ch. 7.9 - Prob. 22PPCh. 7 - An RC circuit has R = 2 and C = 4 F. The time...Ch. 7 - The time constant for an RL circuit with R = 2 ...Ch. 7 - A capacitor in an RC circuit with R = 2 and C = 4...Ch. 7 - An RL circuit has R = 2 and L = 4 H. The time...Ch. 7 - In the circuit of Fig. 7.79, the capacitor voltage...Ch. 7 - Figure 7.79 For Review Questions 7.5 and 7.6....Ch. 7 - For the circuit in Fig. 7.80, the inductor current...Ch. 7 - Figure 7.80 For Review Questions 7.7 and 7.8....Ch. 7 - If vs changes from 2 V to 4 V at t = 0, we may...Ch. 7 - The pulse in Fig. 7.116(a) can be expressed in...Ch. 7 - In the circuit shown in Fig. 7.81...Ch. 7 - Find the time constant for the RC circuit in Fig....Ch. 7 - Determine the time constant for the circuit in...Ch. 7 - The switch in Fig. 7.84 has been in position A for...Ch. 7 - Using Fig. 7.85, design a problem to help other...Ch. 7 - The switch in Fig. 7.86 has been closed for a long...Ch. 7 - Assuming that the switch in Fig. 7.87 has been in...Ch. 7 - For the circuit in Fig. 7.88, if...Ch. 7 - The switch in Fig. 7.89 opens at t = 0. Find vo...Ch. 7 - For the circuit in Fig. 7.90, find vo(t) for t 0....Ch. 7 - For the circuit in Fig. 7.91, find io for t 0....Ch. 7 - Using Fig. 7.92, design a problem to help other...Ch. 7 - In the circuit of Fig. 7.93,...Ch. 7 - Calculate the time constant of the circuit in Fig....Ch. 7 - Find the time constant for each of the circuits in...Ch. 7 - Determine the time constant for each of the...Ch. 7 - Consider the circuit of Fig. 7.97. Find vo(t) if...Ch. 7 - For the circuit in Fig. 7.98, determine vo(t) when...Ch. 7 - In the circuit of Fig. 7.99, find i(t) for t 0 if...Ch. 7 - For the circuit in Fig. 7.100, v = 90e50t V and i...Ch. 7 - In the circuit of Fig. 7.101, find the value of R...Ch. 7 - Find i(t) and v(t) for t 0 in the circuit of Fig....Ch. 7 - Consider the circuit in Fig. 7.103. Given that...Ch. 7 - Express the following signals in terms of...Ch. 7 - Design a problem to help other students better...Ch. 7 - Express the signals in Fig. 7.104 in terms of...Ch. 7 - Express v(t) in Fig. 7.105 in terms of step...Ch. 7 - Sketch the waveform represented by i(t) = [r(t) ...Ch. 7 - Sketch the following functions: (a) x(t) = 10etu(t...Ch. 7 - Prob. 30PCh. 7 - Evaluate the following integrals: (a)e4t2(t2)dt...Ch. 7 - Prob. 32PCh. 7 - The voltage across a 10-mH inductor is 45(t 2)mV....Ch. 7 - Evaluate the following derivatives: (a) ddtut1ut+1...Ch. 7 - Find the solution to the following differential...Ch. 7 - Solve for v in the following differential...Ch. 7 - A circuit is described by 4dvdt+v=10 (a) What is...Ch. 7 - A circuit is described by didt+3i=2ut Find i(t)...Ch. 7 - Calculate the capacitor voltage for t 0 and t 0...Ch. 7 - Find the capacitor voltage for t 0 and t 0 for...Ch. 7 - Using Fig. 7.108, design a problem to help other...Ch. 7 - (a) If the switch in Fig. 7.109 has been open for...Ch. 7 - Consider the circuit in Fig. 7.110. Find i(t) for...Ch. 7 - The switch in Fig. 7.111 has been in position a...Ch. 7 - Find vo in the circuit of Fig. 7.112 when vs =...Ch. 7 - Prob. 46PCh. 7 - Determine v(t) for t 0 in the circuit of Fig....Ch. 7 - Find v(t) and i(t) in the circuit of Fig. 7.115....Ch. 7 - If the waveform in Fig. 7.116(a) is applied to the...Ch. 7 - In the circuit of Fig. 7.117, find ix for t 0....Ch. 7 - Rather than applying the shortcut technique used...Ch. 7 - Using Fig. 7.118, design a problem to help other...Ch. 7 - Determine the inductor current i(t) for both t 0...Ch. 7 - Obtain the inductor current for both t 0 and t 0...Ch. 7 - Find v(t) for t 0 and t 0 in the circuit of Fig....Ch. 7 - Prob. 56PCh. 7 - Prob. 57PCh. 7 - Rework Prob. 7.17 if i(0) = 10 A and v(t) = 20u(t)...Ch. 7 - Determine the step response vo(t) to is = 6u(t) A...Ch. 7 - Find v(t) for t 0 in the circuit of Fig. 7.125 if...Ch. 7 - In the circuit in Fig. 7.126, is changes from 5 A...Ch. 7 - For the circuit in Fig. 7.127, calculate i(t) if...Ch. 7 - Obtain v(t) and i(t) in the circuit of Fig. 7.128....Ch. 7 - Determine the value of iL(t) and the total energy...Ch. 7 - If the input pulse in Fig. 7.130(a) is applied to...Ch. 7 - Using Fig. 7.131, design a problem to help other...Ch. 7 - If v(0) = 10 V, find vo(t) for t 0 in the op amp...Ch. 7 - Prob. 68PCh. 7 - For the op amp circuit in Fig. 7.134, find vo(t)...Ch. 7 - Determine vo for t 0 when vs = 20 mV in the op...Ch. 7 - For the op amp circuit in Fig. 7.136, suppose vs =...Ch. 7 - Find io in the op amp circuit in Fig. 7.137....Ch. 7 - For the op amp circuit of Fig. 7.138, let R1 = 10...Ch. 7 - Determine vo(t) for t 0 in the circuit of Fig....Ch. 7 - In the circuit of Fig. 7.140, find vo and io,...Ch. 7 - Repeat Prob. 7.49 using PSpice or MultiSim. If the...Ch. 7 - The switch in Fig. 7.141 opens at t = 0. Use...Ch. 7 - The switch in Fig. 7.142 moves from position a to...Ch. 7 - In the circuit of Fig. 7.143, determine io(t)....Ch. 7 - In the circuit of Fig. 7.144, find the value of io...Ch. 7 - Repeat Prob. 7.65 using PSpice or MultiSim. If the...Ch. 7 - In designing a signal-switching circuit, it was...Ch. 7 - Prob. 83PCh. 7 - A capacitor with a value of 10 mF has a leakage...Ch. 7 - A simple relaxation oscillator circuit is shown in...Ch. 7 - Figure 7.146 shows a circuit for setting the...Ch. 7 - A 120-V dc generator energizes a motor whose coil...Ch. 7 - The circuit in Fig. 7.148(a) can be designed as an...Ch. 7 - An RL circuit may be used as a differentiator if...Ch. 7 - An attenuator probe employed with oscilloscopes...Ch. 7 - The circuit in Fig. 7.150 is used by a biology...Ch. 7 - To move a spot of a cathode-ray tube across the...
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- Vs(t) + v(t) + vi(t) ZR ZL Figure 1: Second order RLC circuit Zc + ve(t) You are requested to design the circuit shown in Figure 1. The circuit is assumed to be operating at its resonant frequency when it is fed by a sinusoidal voltage source Vs (t) = 2sin(le6t). To help design your circuit you have been given the value of inductive reactance ZL = j1000. Assume that the amplitude of the current at resonance is Is (t) = 2 mA. Based on this information, answer the following to help design your circuit. Use cartesian notation for your answers, where required.arrow_forwardWhat is the attenuation at the resonant frequency? You should use the LTSpice cursors for your measurement. Answer to within 1% accuracy, or enter 0, or infinity (as "inf") (a) Attenuation (dB) = dB Check You may have noticed that it was significantly easier to use frequency-domain "AC" simulation to measure the attenuation, compared to the steps we performed in the last few questions. (i.e. via a time-domain "transient" simulation). AC analysis allows us to observe and quantify large scale positive or negative changes in a signal of interest across a wide range of different frequencies. From the response you will notice that only frequencies that are relatively close to 100 kHz have been attenuated. This is the result of the Band-reject filter you have designed, and shows the 'rejection' (aka attenuation) of any frequencies that lie in a given band. The obvious follow-up question is how do we define this band? We use a quantity known as the bandwidth. A commonly used measurement for…arrow_forwardV₁(t) ww ZRI ZLI ZL2 ZTH Zci VTH Zc21 Figure 8. Circuit diagram showing calculation approach for VTH and Z TH we want to create a blackbox for the red region, we want to use the same input signal conditions as previously the design of your interference ector circuit: Sine wave with a 1 Vpp, with a frequency of 100 kHz (interference) Square wave with 2.4Vpp, with a frequency of 10 kHz (signal) member an AC Thevenin equivalent is only valid at one frequency. We have chosen to calculate the Thevenin equivalent circuit (and therefore the ackbox) at the interference frequency (i.e. 100 kHz), and the signal frequency (i.e. 10 kHz) as these are the key frequencies to analyse. Your boss is assured you that the waveform converter module has been pre-optimised to the DAB Receiver if you use the recommended circuit topology.arrow_forward
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