Solve for the loop currents in the circuit below. 20 60 40 40 V 20 V
KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
Sign Convention
Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.
Solve
In mesh analysis, if the dominating mesh current is entering the voltage source then the voltage drop across the voltage source is consider as positive and if the dominating mesh current is leaving the voltage source then the voltage drop across the voltage source is consider as negative. The voltage polarities across a resistor is dependent on the dominating mesh current, in mesh analysis.
The circuit with assumed direction of mesh currents is shown below:
Apply mesh analysis in mesh 1 with dominating current I1:
Apply mesh analysis in mesh 2 with dominating current I2:
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