Question

Using mesh analysis, determine the current through 1ohm resistor in the given circuit​

Answer 1

Answer:

Here are the two equations, 5 = 7i1+ 5i2 and5 = i1+ 3.

Explanation:

The Branch Current method and the Mesh-Current method both use simultaneous equations, Kirchhoff's Voltage Law, and Ohm's Law to identify unknown currents in a network. The Mesh-Current method is also referred to as the Loop Current Method. It is different from the Branch Current approach in that it does not make use of Kirchhoff's Current Law. Additionally, it is frequently able to solve a circuit with fewer unknown variables and concurrent equations, which is particularly useful if you are compelled to solve without a calculator.

As there is two different voltage source for different meshes, the current through the resistor R3 is i1+i2. Now in Mesh-2, V2, R2, and R3 are connected in series. So, the same current is flowing through the three components which is i2.

So, Here are the two equations, 5 = 7i1+ 5i2 and5 = i1+ 3

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