Experiment:         To study Mesh Method
Aim of experiment: Solve a circuit using mesh analysis
Apparatus:-
   1. DC circuit training system.
   2. Set of wires.
   3. DC Power supply
   4. Digital A.V.O. meter.
Theory:-
       The method of analysis to be described is called mesh analysis.
The term mesh is derived from the similarities in appearance between the
closed loops of a network and a wire mesh fence. To solve an N mesh
circuit, a set of N simultaneous equations are needed. There are several
ways to derive a solution (i.e. Matrix algebra).
    Essentially, the mesh-analysis approach simply eliminates the need to
substitute the results of Kirchhoffs current law into the equations derived
from Kirchhoff's voltage law. It is now accomplished in the initial writing
of the equations. The systematic approach outlined below should be
followed when applying this method:-
1. Assign a distinct current in the clockwise direction to each
    independent, closed loop of the network. It is not absolutely necessary
    to choose the clockwise direction for each loop current. In fact,
    any direction can be chosen for each loop current with no loss in
    accuracy, as long as the remaining steps are followed properly.
    However, by choosing the clockwise direction as a standard, we can
    develop a short and method for writing the required equations that
    will save time and possibly prevent some common errors.
   2. Indicate the polarities within each loop for each resistor as
   determined by the assumed direction of loop current for that loop.
   Note the requirement that the polarities be placed within each loop.
   This requires, as shown in fig (1), (R1,R2), two sets of polarities
   across it.
   3. Apply Kirchhoffs voltage law around each closed loop in the
   clockwise direction. Again, the clockwise direction was chosen to
 establish uniformity and prepare us for the method to be introduced in the
 next section.
     a. If a resistor has two or more assumed currents through it, the total
     current through the resistor is the assumed current of the loop in
     which Kirchhoffs voltage law is being applied, plus the assumed
     currents of the other loops passing through in the same direction,
     minus the assumed currents through in the opposite direction.
     b. The polarity of a voltage source is unaffected by the direction of
     the assigned loop currents.
     4. Solve the resulting simultaneous linear equations for the assumed
     loop currents.
                                               R5
                                   A           1             A
       R1                                                             R4
                       R2                           R3
            A
E1                                                                         E2
                                  Fig. (1) Mesh Circuit
 Procedure:-
     1. Connect the circuit of Figure (1)
     2. measure each of the mesh currents by inserting an ammeter into the
        top edge of each of the mesh windows in the circuit of Figure (1).
        Write down the results in the table.
                           I1              I2               I3
    Assumed Current
       Direction
3- measure the current and voltage through each resistor and write down
the results in the table.
               R1=      R2=       R3=        R4=       R5=
     I (mA)
    V (volt)