Question

Given the voltage across a 10 uF capacitor is Vc 200-t find the capacitor current (c). ic mA QUESTION 3 Given the voltage across a 10 mH inductor is VL = 5V. Assuming the inductor current is zero at time zero, find the current at 4 ms.

Answer 1

Let us consider a capacitor with capacitance @' and let the voltage across that capacitor be ve Ct). elt) c 11 + Ve Then the current through that capacitor ic (1) こ C. dvele) dt Here given that CelowF, Velt)= 2oot Then ic(t) = C. dvelt) dt こ (10x106) X d (2001 dt iclt) (10X106) (200) (dat" - dt natn-3) -1 ict) 2x10 3A am A . IMA

considee a inductor with inductance ħ and let the 2 _te) current through it be e(t) mm + 2 VELE Then the voltage V_(t) = across that inductor will be given by: Li dilt) dt VCE) di, (E) dt I (0) Velt) .dt L ((B) = $ v.CO.de

Here given that Le lomi, VCO) = 5v st -- ¡) = 44 med dt = (hóxo 5.dt (10 x103) t C: Scathdt - atti 1 Lt) = 100x nti [54] ILLA) 100x [5(4) – 50 I_(6) = 100x50 = 5oot Given that trums : ilt = 4605) = 500x (4x163) = 24. :-) icct403) = 24 i=8A
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