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

[prasanaharani]

Whether Kirchoff's Law Is Applicable In A/c.then Say How?

 

[prasanaharani]

Whether Kirchoff's Law Is Applicable In A/c.then Say How

 

[ice109]

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 $$tan( \phi ) = \frac{ \chi}{R}$$

 

[ranger]

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.