R1g0=0R1i1+-CES(t=0)i2iR1R1i1+-ES(t=0)i2iL第二章习题2
1 解:1)当t=0−时, UC(0−)=0V , 当t=0+ 时, UC(0+ )=UC(0−)=0V 这时电容 C 两端相当于短路i=i2= ER1=1001 =100 A , i1=0 A , U R1=E=100V , U R2=0V2)当 S 闭合后达到稳态时,i=ER1+R2=1001+99=1 A ,i1=i=1 A ,这时电容 C 相当于开路,i2=0 A ,UC=R2R1+R2E=991+99×100=99VU R1=R1R1+R2E=11+99×100=1V ,U R2=UR1=99V3)当用电感元件替换电容元件后,如图所示,当闭合瞬间,即 t=0+时iL(0−)=iL(0+ )=0 A=i2(0+)这 时 电 感L两 端 相 当 于 开 路 i=i1=ER1+R2=1001+99=1 A ,U R1=R1 ER1+R2=1×1001+99 =1V , U R2=R2 ER1+R2=99×1001+99 =99ViL+-U1iKi1U2(t=0)UL12V40Ω40Ω80Ω20Ω+-10Vi2i1ULiCCUC(t=0)iLU L=U R2=99V当 S 闭合后达到稳态后,这时电感相当于短路,i2=i= ER1=1001 =100 Ai1=0 A ,U R1=E=100V , U R2=U L=0V2
2 解:根据题意,当t=0−时,i1=iL(0−)=123+1=3 A , U L=0V当t=0+ 时,iL(0−)=iL(0+ )=3 AU2(0+)=1×3=3V ,U2(0+)+U L(0+)=0 ,U L(0+)=−3VU1=12V , i1(0+ )=123 =4 A ,ik(0+)+iL(0+)=i1(0+ )ik(0+)=i1( 0+)−iL(0