有一 RLC 串聯電路,R = 90 Ω,L = 32 mH,C = 5 μF,串聯於 Vs = 750cos(5000t + 30°) 電壓源兩端,請問該電路之電流 is 為何?
A5cos(5000t − 30°) A
B5cos(5000t + 53.07°) A
C5cos(5000t + 30°) A
D5cos(5000t − 23.13°) A正確答案
答案與詳解
XL=5000×0.032=160Ω,XC=1/(5000×5×10⁻⁶)=40Ω,X=120Ω,|Z|=√(90²+120²)=150Ω,∠Z=arctan(120/90)=53.13°,Is=5∠(30°−53.13°)=5∠−23.13°,完全正確
