100分.英文版的.ans是答案

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100分.英文版的.ans是答案
100分.英文版的.ans是答案

100分.英文版的.ans是答案
(a)
angular frequency w=2*pi*f=314.16 rad/sec
real power I^2*R=V^2/(R^2+(w*L)^2)*R=1000W
power factor R/√(R^2+(w*L)^2)=0.75
R=29.75Ohm, L=83.5mH.
I get a different R value than the original answer (26.24Ohm). But the L value is the same.
(b)
because V and I are in phase, 1/(R+jwL)+1/(1/jwC) must be a real number
analyzing the imaginary part, we get the following equation
-wL/(R^2+w^2*L^2)+wC=0
so
C=L/(R^2+w^2*L^2)=53.1uF.
I get the same value as the answer. So I guess 26.24Ohm is the wrong answer for the last question.

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