电工学交流电题目,求详解!
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Z1=4+7i
Z2=5-6i
Z1与Z2并联,=Z3:
1/Z3=1/Z1+1/Z2=1/(4+7i)+1/(5-6i)
=(5-6i+4+7i)/[(4+7i)(5-6i)]
=(9+i)/[20-24i+35i-42i²]
=(9+i)/(62+11i)
Z3=(62+11i)/(9+i)
=(62+11i)(9-i)/[(9+i)(9-i)]
=(558-62i+99i-11i²)/(81+1)
=(569+37i)/82
Z4=2+3i,与Z3串联,
得到总阻抗Z:
Z=Z3+Z4=(569+37i)/82+2+3i=(733+283i)/82
|Z|=√(733²+283²)/82=√617378/82=9.5821欧姆
I=100/|Z|=10.436A
Z2=5-6i
Z1与Z2并联,=Z3:
1/Z3=1/Z1+1/Z2=1/(4+7i)+1/(5-6i)
=(5-6i+4+7i)/[(4+7i)(5-6i)]
=(9+i)/[20-24i+35i-42i²]
=(9+i)/(62+11i)
Z3=(62+11i)/(9+i)
=(62+11i)(9-i)/[(9+i)(9-i)]
=(558-62i+99i-11i²)/(81+1)
=(569+37i)/82
Z4=2+3i,与Z3串联,
得到总阻抗Z:
Z=Z3+Z4=(569+37i)/82+2+3i=(733+283i)/82
|Z|=√(733²+283²)/82=√617378/82=9.5821欧姆
I=100/|Z|=10.436A
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