Kirchhoff’s current law (KCL):
KCL states that the algebraic sum of the currents entering a node or meeting at a point is zero.
→ It is based on law of conservation of charge.
⇒I1 + I2 + (– I3) + I4 + (– I5) = 0
Incoming current consider as Positive
Outgoing current consider as Negative.
Kirchhoff’s voltage law(KVL):
It states that algebraic sum of all the voltages in a closed loop is zero.
It is based on the law of conservation of energy.
– Vs + IR1 + IR2 = O
Rise in potential = negative, Fall in potential = positive (or) vice-versa.
Mesh is a loop which cannot contain any inner loop.
It is applicable only for the planner network and a planner network is that can be drawn in a plane with no branches crossing are another.
Loops → L1, L2, L3
Mesh → L1, L2
- Identify the total number of meshes.
- A sign the mesh current
- Develop KVL equation for each mesh.
- Solve equation to find the loop current.
Note: Number of equations required to solve the circuit with the help of mesh analysis are:
b = number of branches
N = number of nodes
- identify total number of nodes in the circuit.
- Assign the voltage at each node and one of the nodes is taken as the reference node and the potential of reference node is equal to the ground potential.
- Develop KCL equation for each non – reference node.
- By solving KCL equation, find the node voltages.
The total number of equations required to solve the network by using nodal analysis are:
Way of writing equation at a node:
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