Electric Circuits. (11th Edition)
11th Edition
ISBN: 9780134746968
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 16, Problem 21P
To determine
Derive the Fourier series expression in the given form for the periodic function.
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Chapter 16 Solutions
Electric Circuits. (11th Edition)
Ch. 16.2 - Objective 1–Be able to calculate the trigonometric...Ch. 16.2 - Prob. 2APCh. 16.3 - Derive the Fourier series for the periodic voltage...Ch. 16.4 - Compute A1 – A5 and θ1 – θ5 for the periodic...Ch. 16.5 - The periodic triangular-wave voltage seen on the...Ch. 16.5 - The periodic square-wave shown on the top is...Ch. 16.6 - a. 16.7 The periodic voltage function in...Ch. 16.8 - Derive the expression for the Fourier coefficients...Ch. 16.8 - Calculate the rms value of the periodic current in...Ch. 16.9 - Prob. 10AP
Ch. 16 - Prob. 1PCh. 16 - Derive the Fourier series for the periodic voltage...Ch. 16 - Find the Fourier series expressions for the...Ch. 16 - Prob. 4PCh. 16 - Prob. 5PCh. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - Prob. 10PCh. 16 - Prob. 11PCh. 16 - Prob. 13PCh. 16 - Prob. 14PCh. 16 - Prob. 15PCh. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - Prob. 18PCh. 16 - Derive the Fourier series for the periodic...Ch. 16 - Prob. 20PCh. 16 - Prob. 21PCh. 16 - Derive the Fourier series for the periodic...Ch. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 -
Show that for large values of C Eq. 16.24 can be...Ch. 16 - Prob. 28PCh. 16 - Prob. 30PCh. 16 - Prob. 32PCh. 16 - The periodic current shown in Fig. P16.33 is...Ch. 16 - The periodic voltage across a 10 Ω resistor is...Ch. 16 - The triangular-wave voltage source, shown in Fig....Ch. 16 - Prob. 36PCh. 16 -
Find the rms value of the voltage shown in Fig....Ch. 16 - Use the first four nonzero terms in the Fourier...Ch. 16 -
Estimate the rms value of the periodic...Ch. 16 -
Estimate the rms value of the full-wave rectified...Ch. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Prob. 43PCh. 16 - Prob. 44PCh. 16 - Prob. 45PCh. 16 - Prob. 46PCh. 16 - Prob. 48PCh. 16 - Make an amplitude and phase plot, based on Eq....Ch. 16 - Prob. 50PCh. 16 - Prob. 51PCh. 16 - A periodic function is represented by a Fourier...Ch. 16 - Prob. 53PCh. 16 - Prob. 54PCh. 16 - Prob. 55PCh. 16 - Prob. 57P
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- 2-3) For each of the two periodic signals in the figures below, find the exponential Fourier series and sketch the magnitude and angle spectra. -5 ΟΙ 1 1- (a) (b) -20π -10x -π Π 10m 20m 1-arrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Introduction to Signals and Systems)arrow_forwardIn the op-amp circuit shown in Fig. P8.32,uin(t) = 12cos(1000t) V,R = 10 k Ohm , RL = 5 k Ohm, and C = 1 μF. Determine the complexpower for each of the passive elements in the circuit. Isconservation of energy satisfied?arrow_forward
- 2-4) Similar to Lathi & Ding prob. 2.9-4 (a) For signal g(t)=t, find the exponential Fourier series to represent g(t) over the interval(0, 1). (b) Sketch the original signal g(t) and the everlasting signal g'(t) represented by the same Fourier series. (c) Verify Parseval's theorem [eq. (2.103b)] for g'(t), given that: = n 1 6arrow_forward8.24 In the circuit of Fig. P8.24, is(t) = 0.2sin105t A,R = 20 W, L = 0.1 mH, and C = 2 μF. Show that the sum ofthe complex powers for the three passive elements is equal to thecomplex power of the source.arrow_forward3. VEB (on) 0.7 V, VEC (sat) = 0.2 V, and ẞ = 150. RB = 50 kQ, Rc = 2 kQ, and Vcc = 5 V. a) Find the range of V₁ for the cut-off. Forward active, and saturation regions. (20 points) b) Draw the voltage transfer characteristic (VTC) graph. (10 points) Vcc VEB V₁ RB www 。 Vo Rc Figure 3arrow_forward
- 2-1) Lathi & Ding prob. 2.5-2 For the signals y(t) and x(t) shown below, find the component of the form y(t) contained in x(t). In other words, find the optimum value of c in the approximation x(t) = cy(t) so that the error signal energy is minimum. Also compute the error signal energy. y(t) x(t) 0 1 0 1arrow_forward1. Is1 = 2ls2 = 4 × 10-16 A, B₁ = ẞ2 = 100, and R₁ = 5 kQ. Find the VB such that lx = 1 mA. (30 points) R1 ww Q2 + VB Figure 1arrow_forward2-2) Lathi & Ding prob. 2.6-1 2.6-1 Find the correlation coefficient p between of signal x(t) and each of the four pulses g1(1), 82(1), 83(1), and g4(f) shown in Fig. P2.6-1. To provide maximum margin against the noise along the transmission path, which pair of pulses would you select for a binary communication? Figure P.2.6-1 x(f) (a) 8(1) (b) 82(1) (c) 1 1 sin 2πt sin 4πt -sin 2 0 0.707 83(1) 0 1 (d) 0 M P 0.707 84(1) (e) 0 0.5 -0.707arrow_forward
- 2. Determine the operation point and the small-signal model of Q₁ for each of the circuits shown in Fig. 2. Assume Is = 8 × 10-16 A, B = 100 and VA = ∞. a) 20 points b) 20 points 0.8 V RC 50 Ω + Vcc = 2.5 V 4A" Figure 2-a Rc1kQ + Vcc = 2.5 V Figure 2-barrow_forwardPlease explain in detail how to solve this question. Show detailed steps in terms of calculation and theory. thank youarrow_forwardPls show neat and whole solutionarrow_forward
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