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申論題資訊

試卷:110年 - 110 國立中央大學_碩士班招生考試_機械工程學/系統組(一般生):工程數學(含程式設計)#105893
科目:研究所、轉學考(插大)◆工程數學
年份:110年
排序:0

題組內容

2. Modeling an RLC-circuit and obtain steady-state current. Kirchhoff's Voltage Law says that the voltage drop in a closed-loop circuit is zero.

申論題內容

(b) (5%) Obtain the "steady-state" current in the RIC-circuit when R=50 Ω (Ohm), L = 30 H (Henry), C = 0.025 F (Farad) , and E = 200 sin(4t) V (Volt)
 Hint: The voltage drop for a current i(t) across a resistor of resistance R is Ri(t), across an inductor of inductance L is 61e8dcbfad014.jpg, and across a capacitor of capactiance C is Q/C, where Q is the charge and the relation between Q(t) and i(t) is Q(t) = si(t)dt