1. Using Maxwell’s loop current method, calculate the output voltage Vo for the circuits shown in Figure.
Answers
Answer:
Mesh Current Analysis
Mesh Current Analysis is a technique used to find the currents circulating around a loop or mesh with in any closed path of a circuit.
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While Kirchhoff´s Laws give us the basic method for analysing any complex electrical circuit, there are different ways of improving upon this method by using Mesh Current Analysis or Nodal Voltage Analysis that results in a lessening of the math’s involved and when large networks are involved this reduction in maths can be a big advantage.
For example, consider the electrical circuit example from the previous section.
Mesh Current Analysis Circuit
mesh current analysis circuit
One simple method of reducing the amount of math’s involved is to analyse the circuit using Kirchhoff’s Current Law equations to determine the currents, I1 and I2 flowing in the two resistors. Then there is no need to calculate the current I3 as its just the sum of I1 and I2. So Kirchhoff’s second voltage law simply becomes:
Equation No 1 : 10 = 50I1 + 40I2
Equation No 2 : 20 = 40I1 + 60I2
therefore, one line of math’s calculation have been saved.
Mesh Current Analysis
An easier method of solving the above circuit is by using Mesh Current Analysis or Loop Analysis which is also sometimes called Maxwell´s Circulating Currents method. Instead of labelling the branch currents we need to label each “closed loop” with a circulating current.