State Kirchhoff’s Current And Voltage Law As Applied To D.C. Circuits ?

Kirchhoff’s Current And Voltage Law As Applied To D.C. Circuits. Can they be extended for application to A.C. circuits? What is the difference in application in D.C. and A.C circuits ?

Kirchhoff’s Current Law (KCL) Or Point Law

It state that, “In any network or, circuits, the algebraic sum of all currents meeting at a point (or junction) is zero or the sum of incoming current towards any point is equal to the sum of outgoing current away from that point”. For example

Current away from that point

Kirchhoff’s Voltage law (KVL) Or Kirchhoff’s Loop Law

“It states that, the algebric sum of the potential rises and drops around any closed loop in an electric circuit is zero”.

For example :

Voltage rise [ — ve to + ve ]

Voltage Drop [ +ve  to —ve ]

Applying KVL to ABCD closed Loop

-IR1 -IR2 +IR3+E=0

E=IRI + 1R2 + IR3

OR, E = VI + V2 + V3

Kirchhoff’s Law Can Be Applicable To A.C. And D.C. Circuits

(1) In D.C. circuit we deal with scalar quantities.

(2) In A.C. circuit we deal with vector quantities.

(3) In D.C. circuit, it is an algebraic sum.

(4) In A.C. circuit, it is vector sum or phasor sum.

Applications Of Kirchhoff’s Law

KCL and K VL is used in electrical network to determine :

(1) Branch current.

(2) Voltage drop across the resistors.

(3) Power consumed by resistor.


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