Kirchhoff's laws can also be used in ac electric circuit analysis. With the basic KVL and KCL from dc circuit, we can modify those two to be used for a sinusoidal electric circuit.

We cannot do circuit analysis in the frequency domain without Kirchhoff's current and voltage laws. Hence, we need to express them in the frequency domain.

*Make sure to read what is ac circuit first.*We cannot do circuit analysis in the frequency domain without Kirchhoff's current and voltage laws. Hence, we need to express them in the frequency domain.

## Kirchhoff's Laws for AC Circuit

For KVL, let

*v*,_{1}*v*, ...,_{2}*v*be the voltages around a close loop. Then_{n}(1) |

By following a similar procedure, we can show that Kirchhoff's current law holds for phasors. If we let

*i*,_{1}*i*, ...,_{2}*i*be the current leaving or entering a closed surface in a network at time_{n}*t*, then(6) |

**I**

*,*

_{1}**I**

*, ....,*

_{2}**I**

*are the phasor forms of the sinusoids*

_{n}*i*,

_{1}*i*, ...,

_{2}*i*, then

_{n}
Once we have shown that both KVL and KCL hold in the frequency domain, it is easy to do many things, such as impedance combination, nodal and mesh analyses, superposition, and source transformation.

Untuk Bahasa Indonesia baca Hukum Kirchhoff Rangkaian AC

Have you understood what is kirchhoff's laws for ac circuit? Don't forget to share and subscribe! Happy learning!

*Reference: Fundamentals of electric circuits by Charles K. Alexander and Matthew N. O. Sadiku*Untuk Bahasa Indonesia baca Hukum Kirchhoff Rangkaian AC

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