Mesh-analysis - Loop-analysis -Maxwell's Current Analysis | Electrical

Mesh-analysis/Loop-analysis/Maxwell's Current Analysis

Mesh-analysis may also be known as “Loop-analysis” or “Close-loop method” or “Maxwell’s current analysis”. It is used to finding current in each loop’s by which we can easily find out the value of individual current/voltage/power in each resistances of the given circuit.

Method of solving problem by using Mesh-analysis:-

Step 1^st:-Let us considered a circuit as,

Step 2^nd:-Firstly identifying total no. of independent loops in the given circuit. In the above circuit, the given circuit forms three closed loops. But actual only two are independent of each other.

Step 3^rd:-Now, we flows current in the identified independent loop as our convenience (either in clockwise or in anti-clockwise). But flows current must be in same direction in all the independent loops. As shown below,

Step 4^th:-After flowing of current, we are applying KVL in both the independent loops.

Applying KVL in loop 1^st:-

V-I₁R₁-I₁R₅-I₁R₆+I₂R₆=0

I₁ ± I₂ = _    ···················· (1)

Again, Applying KVL in loop 2^nd:-

-I₂R₂-I₂R₃-I₂R₄- I₂R₆+I₁R₆=0

I₁ ± I₂ = _    ···················· (2)

Step 5^th:- On solving, eqn(1) & eqn(2), we can easily find the value of ‘I₁’ & ‘I₂’ in the given circuit.

NOTE:-  In Mesh-analysis, we can only read voltage source because in this we applied KVL which indicates that we are studying about voltage.

If a circuits having current source, we have to first convert it into voltage source as if possible.