# Kirchhoff's current law

## Kirchhoff's current law

[′kərk‚hōfs ′kə·rənt ‚lȯ]
(electricity)
The law that at any given instant the sum of the instantaneous values of all the currents flowing toward a point is equal to the sum of instantaneous values of all the currents flowing away from the point. Also known as Kirchhoff's first law.
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(4) The MTL equations are written using a displacement current going through a capacitance and a true current following Kirchhoff's current law. (9) As discussed in the previous section, it is important to introduce the normal-mode quantities [V.sub.n] and In to define the standard mode.
Hence, we do not use the concept of the displacement current and Kirchhoff's current law in the present new MTL theory.
(15) On the other hand, the concept of the displacement current was used by Heaviside in 1881 in the theory of transmission lines using a capacitance for a network of infinitesimally small circuit elements with Kirchhoff's current law (.9) It should be noted from the present study of the MTL theory that the displacement current through a capacitance is not necessary despite the fact that Maxwell's correction term surely exists.
Because a displacement current goes through a capacitance between conductors, Kirchhoff's current law is satisfied using both the displacement current and the true current.
Based on Kirchhoff's current law, we can get the circuit expressions as follows:
Kirchhoff's Current Law states that the sum of the currents entering a node is equal to the sum of the currents leaving the node.
Applying Kirchhoff's current law to the equivalent circuit for MODE-I and taking Laplace transforms we write,
Applying Kirchhoff's current law to the equivalent circuit for MODE-II and taking Laplace transforms we write,
According to Kirchhoff's current law, a current travels in a closed loop and on the path of least impedance.
The flow is regarded as the resistive network, and the current and potential in the fluid domain are solved with Kirchhoff's Current Law (KCL) employed.
According to the Kirchhoff's Current Law (KCL), in which the sum of the nodal current is zero, the mathematical expression is directly obtained as
Similarly, the equation is established on the basis of the Kirchhoff's Current Law (KCL):

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