- #1
e0ne199
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1. Homework Statement
the problem is my answer for question (a) is not the same as the answer provided by the question, i get 2.81 - j4.49 Ω while the answer demands 2.81 + j4.49 Ω
Homework Equations
simplifying the circuit, details can be seen below
The Attempt at a Solution
XL1=jωL1=j*20e-3*1000=j20Ω
XL2=jωL2=j*5e-3*1000=j5Ω
XC1=1/(-jωC1)=1/(j*100e-6*1000)=-j10Ω
XC2=1/(-jωC2)=1/(j*200e-6*1000)=-j5Ω
solving Zpar1:
Zpar1 = XL1 * XC1 /(XL1 + XC1)
Zpar1 = -j10Ω * j20Ω /(-j10Ω + j20Ω) = -j20Ω
solving Zser1:
Zser1 = -j20Ω - j5Ω = -j25Ω
solving Zin:
Zin = 1/((1/10)+(1/(j5))-(1/(j25))) = 2.81 - j4.49 Ω