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南昌大学期末考试试题

南昌大学期末考试试题
南昌大学期末考试试题

南昌大学期末试卷

班级 姓名 学号

一. 简算题(25分)

1. 设某线性电路的冲激响应为h(t)=e -t +2e -2t ,求相应的网络函数H (s ),

并绘出极、零点图

2. 求

的原函数。

3. 求f(t)=sin(ωt)的象函数。

4.某有向连通图d G 的基本回路矩阵f B 为:

1 2 3 4 5 6 7

????

??????---=011010011000101011001f B 画出有向图d G ,写出全阶关联矩阵a A 。

.列写与上图d G 的回路矩阵f B 对应同一树的基本割集矩阵f Q 。

二.图示电路,电容C=0.5F ,以u c 和i L 为状态变量,写出电路的状态方程,并整理为矩阵形式(10分)

1H i L 2Ω

-

u s

+

三.图示电路中,已知R=1Ω,C=1μF ,回转器回转常数

)

22(1

2)(++=S S S F S

r=1000Ω,求1—1端等效元件参数。(10分)

+ u 1 - 四.图示电路中,直流电压源U s =5V ,R=2Ω,非线性电阻的伏安关系为:

现已知当0)(=t u s 时,回路中的电流为1A 。如果电压源u s (t)=cos(ωt )(V),用小信号分析法求电流i(t)。(10分)

R

U s +

- u s -

五.电路如图所示,已知ω=1000rad/s, C=1μF, R=1Ω, L 1=1H ,H L 3

12=, 求:

(1) u s( t)的有效值;

(2) 电阻电压)(t u R ;

(3) 电源发出的平均功率(15分)

u s 1

- u R (t) +

3

2i i u +=V

)t 2cos(216)t cos(21512u )t (s ω+ω+=

六.图示电路,已知L=0.25H, C=1F, R=0.2Ω,电源电压U S1=1V ,U S2=5V ,设开关S 在位置1时电路已达稳态,t=0时将开关S 合到位置2。

(1)做出运算电路;

(2)用运算法求电容电压U C (S )。(15分)

R

u

- 七.求图示二端口网络的Y 参数,并做出π形等效电路。(15分)

++ U 1 2

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c a n w e k e e p f r i e n d s h i p a l i v e. Friendship is absolutely crucial for us. We have to do hard work to build up and sustain friendship. Here are some important ways to keep friendship alive .First of all,let your friends know that you care about them. If you can't be there at the given moment, say something like, "I wish I could be with you. May I call you tomorrow "Be sure your friend knows she's cared about.Second, try to be with your friends when they are in trouble. Remember troubled people are most in need of their friends to stay around. The last but not the least, keeping friendship alive is to say to your friends "I miss you and I love you ". Remember it right for college students to have tattoos Nowadays many college students like to highlight their personalities, to be their own. They have taken special ways to show their personalities. For example, some college students who are tattooed think tattooing is cool and shows great personality. But teachers and parents do not think tattooing is right for students. They believe to be a student you should dress like a student- -no tattoos, of cause. Some people even believe that those who are tattooed are not good students.

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