总的阻抗为：R//(jωL+1/jωC)=100//(j*1000*0.1+1/j*1000*20*10^-6)=100//(100j-50j)=100//(50j)
=1/(1/100+1/50j)=5000j/(100+50j)=5000j*(100-50j)/(10000+2500)=(5000j+2500)/125
=40j+20=20(1+2j)=20√5(cos63.4º+jsin63.4 º)
直流电流为0.1.交流电流为：√5/100Sin(1000t-63.4 º)
总电流为：0.1+√5/100Sin(1000t-63.4 º)