Chapter 11, Problem 5TFQ

I need help with this problem and an explanation of the solution for the image described below. (Introduction to Signals and Systems)

In 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?

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 6

8.24 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.

3. 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 3

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 1

1. 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 1

2-2) 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 -0.707

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-b