1. In the circuit shown in the Fig 3-15, it is desired that 23 2v, a)Find the value of R that gives the desired relationship. b) Suppose that v,=-10V and v2=10V, find the magnitude of the currents through all resistors and the powers dissipated by all resistors

I Let L= 1.25 H in Fig. 6-11, and determine v(t)if v(0) 1(02)=20A L 0.05F ig 6-11 For prob. I 2(a)What value of L in the circuit of Fig 6-11 will result in a transient response of the form, v(t)

1 If the voltage across a 5F capacitor is 2te -V, find the current and the power 2 In 5s, the voltage across a 40mF capacitor changes from 160v to 220V. Calculating the average current through the capacitor

A cosine voltage is zero and increasing at t=-1 6ms; the next zero crossing occurs at t 4.65ms. (a)Calculate T, f, and @.(b) If v(0)=20V, find v(t).(c)By what angle does v(t) I(t)=5cos(t-110°)A? 2 For the sinusoidal waveform shown in

I If f(t)=100 for 04.(a) Calculate v at t=T/4.(b) Find the average power delivered by this waveform to a 5Q2 resistor 3 Let v(t)=3-3 cos(100 t-40)+4 sin(200 T t-10)+2.5 cos 300 tt V Find: (a)the average value Var;(b)the rms value V;(c)the period T; (d)v(18ms)

1 The physical construction of three pairs of coupled coils is shown in Fig. 10-16. Show two different possible locations for the two dots on each pair of coils. 2 For the circuit illustrated in Fig. 10-17 (a) find I and VB; (b) repeat if a 62 resistor is connected between the terminals at the right

1 Find F(s) if f(t) = (a)(t-3);(b)4t u(t-3); (c)4 cos to(t-3). 2 Obtain partial-fraction expansions for each of the following rational functions, and find the corresponding time functions:

1 Find the matrix equation in the circuit of Fig. 16-12 by nodal analysis method. Assume that each branch admittance of the circuit is 1S

characteristic is assumed to be as shown in Fig. 17-15b 1 Sketch the characteristic of each of the following circuits shown in Fig. 17-31. the diode characteristic is shown in Fig. 17-3le 2 Sketch the transfer characteristic of each of the following circuits shown in Fig. 17-32 the transfer characteristic being vo/v

微分方程:d(f(ty)y(to)=y 数值解:yn≈y(tn),n=0, 步长: n n+1'n 自动确定 rtth 积分方程:y(t+h)=y(t)+f(s,y(s))ds rt+h 特殊情况:y(t+h)=y(t)+f(s)ds