thx! AC Circuits Investigation #5 Theory (Homework): RC Circuits Purpose In this

Question

thx!

AC Circuits Investigation #5 Theory (Homework): RC Circuits Purpose In this investigation, you will develop the theory underlying a capacitor and a resistor hooked in series with a function generator. Theory The phasor diagrams we developed in previous investigations will be central to developing the theory underlying RC circuits. OST 1 How do the instantaneous currents thru the function generator (iame), thru the resistor G and thru the capacitor (ic) compare? Q5T.2 Is your answer to the previous question true for peak currents as well as instantaneous currents? osT.3 Apply Kirchoff's Loop Law to write an equation relating the instantaneous voltages across the three circuit elements (vsourcer vR and Q5T.4 is the equation you wrote in the previous question true for peak voltages as well as instantaneous voltages? QST.5 In questions Q2T.17 and Q3T.15, you drew phasor diagrams for a resistor and a capacitor. Summarize that information. Resistor Capacitor Phase difference Phase difference between between current and voltage current and voltage Current voltage Current voltage lin phase with eads/trails) (in phase withMeads/trails)

Explanation / Answer

we need the following to solve thse circuits.

Impedence Z^2 = R^2+ XC^2

then current i in the entire ckt = V/Z

5. current across voltage source i = V/Z

i across capaciatcne = ic = V/Xc

i across R = ir = V/R

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2. yes

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3. KVR states that sum of volatges across all the elements in a ckt = 0

so here V-iR -Q/C = 0

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4. eqn is same but Ipeak and Irms are related as Ipeak = Irms* sqrt2

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5. In resistor ckt, current i and volatge V are in phase

in capacitor ckt, remember ICE( mnemonic)

I is current

C is current

E is volatge'

so in Capacitor ckt, current leads voaltge by 90 ) ( as I comes first, we say I leads)

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Vpeak = Vcos(wt)

where W = 2pif

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impednece Z in terms of R and XC is Z^2 = R^2+xc^2

or Z = sqrt( R^2+XC^2)

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