电路如图题6-24所示,试求i（t)的零状态响应;若,试求i_L（t)的零输入响应.如果i_L（0_-)=

题3.17图所示系统，若激励f(k)=(0.5)^kε(k)，求系统的零状态响应。 <img src='https://img2.soutiyun.com/ask/5514001-5517000/b5e21da8049626909bc681dbd619587d.jpg' />

如图所示的离散系统由两个子系统级联组成，已知<img src='https://img2.soutiyun.com/ask/2020-11-05/973420177375602.jpg' />激励f(k)=δ(k)-aδ(k-1)，求该系统的零状态响应<img src='https://img2.soutiyun.com/ask/2020-11-05/973420243866405.jpg' />。 <img src='https://img2.soutiyun.com/ask/2020-11-05/973420261120392.jpg' />

电路如图题6-37所示，已知i(t)=10A，t≥0;u(0)=1V。求电压u(t)的零输人响应和零状态响应，稳态响应和瞬态响应。 <img src='https://img2.soutiyun.com/ask/2020-08-25/967214993014152.png' />

电路如图题 10-6所示,已知<img src='https://img2.soutiyun.com/ask/2020-07-24/964447303300445.png' />,试求u(t)。 <img src='https://img2.soutiyun.com/ask/2020-07-24/964447314547089.png' />

若激励信号e(t)为如图4-45(a)所示周期矩形脉冲,e(t)施加于图4-45(b)所示电路,研究响应v₀(t)之特点.已求得v₀(t)由瞬态响应<img src='https://img2.soutiyun.com/ask/2020-12-01/975676035825158.png' />和稳态响应<img src='https://img2.soutiyun.com/ask/2020-12-01/975676035825158.png' />两部分组成,其表达式分别为: <img src='https://img2.soutiyun.com/ask/2020-12-01/975676076102462.png' /> 其中<img src='https://img2.soutiyun.com/ask/2020-12-01/975676096774644.png' />为<img src='https://img2.soutiyun.com/ask/2020-12-01/975676116769788.png' />第一周期的信号 <img src='https://img2.soutiyun.com/ask/2020-12-01/975676131898653.png' /> (1)画出v₀(t)波形,从物理概念讨论波形特点; (2)试用拉氏变换方法求出上述结果; (3)系统函数极点分布和激励信号极点分布对响应结果特点有何影响. <img src='https://img2.soutiyun.com/ask/2020-12-01/97567614898663.png' />

RC电路及其输人u，(1)的波形如图A-6所示，试求对所有t的u_c(t)、i_c(t)和u(t)。 <img src='https://img2.soutiyun.com/ask/2020-08-31/967735712547699.png' />

设一阶系统为<img src='https://img2.soutiyun.com/ask/2020-07-10/963227516423779.png' />。 (1)求单位响应h(n); (2)若系统的零状态响应为<img src='https://img2.soutiyun.com/ask/2020-07-10/963227531503642.png' />； 试求输入信号。

在题5-12图所示电路中,若电流i(t)=1sin314tA,试求电压u_R(t)、u_L(t)、u_c(t)和u(t),并绘出波形图和相量图. <img src='https://img2.soutiyun.com/ask/2020-10-10/971172831541366.png' />

试求RC并联电路由题4-39图所示电流激励时的零状态响应u_c(t). <img src='https://img2.soutiyun.com/ask/2020-10-09/971122444533988.jpg' />

<img src='https://img2.soutiyun.com/ask/2020-12-02/975775165678232.png' />

在题5-7-5图所示的电阻电感串联电路中,若电流i(t)=0.8Ssin314t A,试求电压u_R(t)、u_L(t)和u(t),并绘出波形图和相量图. <img src='https://img2.soutiyun.com/ask/2020-10-10/971171923335419.png' />

题图14-5所示电路中，已知uc(0)=-2V，iL(0)=0.6A，试求t≥0时的电容电压uc(t)和电感电流iL(t)的零输人响应。 <img src='https://img2.soutiyun.com/ask/2020-07-08/963048132138953.png' /><img src='https://img2.soutiyun.com/ask/2020-07-08/963048150707015.png' /><img src='https://img2.soutiyun.com/ask/2020-07-08/963048171235189.png' />

已知系统的单位冲激响应h(t)=sint·u(t)，求当激励如图所示时，系统的零状态响应r_zs(t)。 <img src='https://img2.soutiyun.com/ask/2019-05-09/926239694610699.png' />

求出图4-3所示电路从电容端口向左看的等效电阻，进而求出电路的零输入响应u_C(t)。已知R₁=200Ω，R₂=300Ω，C=50μF，u_C(0_-)=100V。 <img src='https://img2.soutiyun.com/ask/2019-05-09/926285135740329.png' />

(1)它是什么类型的系统(全通或最小相移系统),并求h(t)(应为实函数); (2)写出它的线性实系数微分方程表示; (3)它的逆系统的单位冲激响应h₁(t),该逆系统是可以实现的(即既因果又稳定)的吗？ <img src='https://img2.soutiyun.com/shangxueba/ask/51312001-51315000/51314185/975677419452297.png' />

试求题4-27图所示电路在开关闭合后的零状态响应i(t)(图中Us为一直流电压). <img src='https://img2.soutiyun.com/ask/2020-10-09/971121216666759.png' />

题图9-11所示电路中，已知uc(0)=2V，iL(0)=1A。试求t≥0时，电容电压uc(t)和电感电流iL(t)的零输人响应。 <img src='https://img2.soutiyun.com/ask/2020-07-07/962964466825117.png' />

试求图题12-6所示电路的冲激响应h(t)=u(t)，并求u(0₊)，如发生跃变，试解释之。 <img src='https://img2.soutiyun.com/ask/2020-09-01/967819384556862.png' />

t≥0时电路如图题12-2所示，已知i_L(0_)=-2A，u_c(0_)=2V，试求u_c(t)，t≥0。 <img src='https://img2.soutiyun.com/ask/2020-08-31/967733127072818.png' />

试求题9-12图所示电路的零状态响应i₁(t)和i₂(t). <img src='https://img2.soutiyun.com/ask/2020-10-10/971200443931704.jpg' />

求题9-17图所示电路的零状态响应i(t).要求对此电路的复频域模型用戴维宁定理求出i(t)的象函数I(s),进而求出i(t). <img src='https://img2.soutiyun.com/ask/2020-10-10/971200769947351.jpg' />

求题4-5-1图所示电路的冲激响应i(t). <img src='https://img2.soutiyun.com/ask/2020-10-09/971118180112078.jpg' />

练习题6-5图所示RL电路，已知u_s(t)=12e(t)V试求阶跃响应i_L、u₁和u。 <img src='https://img2.soutiyun.com/ask/2020-08-25/967204134099058.png' />