Understanding Kirchoff's Law in A/C: Application and Explanation"

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    Kirchoff Law
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Kirchoff's Law is applicable in AC circuits when using impedance and reactance. The relationship is defined by the equation V=I|Z|, where Z is the total impedance calculated as |Z|=√(R²+χ²). The reactance χ is the difference between inductive and capacitive reactance, represented as χ=χ_L-χ_C, with χ_L and χ_C defined by their respective formulas. For accurate analysis, voltages and currents should be expressed in complex form, ensuring all values are at the same frequency. This approach allows for effective application of Kirchoff's Law in AC circuit analysis.
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Whether Kirchoff's Law Is Applicable In A/c.then Say How?
 
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Whether Kirchoff's Law Is Applicable In A/c.then Say How
 
prasanaharani said:
Whether Kirchoff's Law Is Applicable In A/c.then Say How

using impedance/reactance

V=I|Z|

where Z is

|Z|=\sqrt{R^2+ \chi ^2}

where \chi is

\chi = \chi _L - \chi _C

where \chi _L and \chi _C are

\chi _L=2 \pi f L and \chi _c= \frac{1}{2 \pi f C}

note: these equations only give you maximum or rms voltage or current

for instantaneous use these, which if you don't know, are sinusoidal functions

\tilde{V} = V_0e^{i(\omega t + \phi_V)}

and

\tilde{I} = I_0e^{i(\omega t + \phi_I)}

\omega = 2 \pi f and tan( \phi ) = \frac{ \chi}{R}
 
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It is very much applicable. The catch is that you should have them in complex form (phase and magnitude) and all listed currents and voltage must be of the same frequency.
 
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