Mesh analysis is a convenient method that employs mesh currents as circuit variables, effectively reducing the number of simultaneous equations involved in circuit analysis. Unlike nodal analysis, mesh analysis applies only to planar circuits without crossing branches. Determining the mesh currents in any planar circuit involves the following steps. First, the total number of independent meshes in the circuit are identified, and mesh currents are assigned to each mesh. Second, element voltages are expressed as functions of the mesh currents, and Kirchhoff's voltage law is applied to each mesh to obtain a set of linear equations. Finally, the mesh currents are obtained by solving the set of equations. For a circuit with "i" independent meshes, mesh analysis requires "i" independent equations to obtain the mesh currents. Suppose the values of resistances and source voltages for the presented two-mesh circuit are known. These values are substituted into the linear equations and solved to obtain the mesh currents. Finally, the calculated values of the mesh currents can be used to determine the branch currents i1, i2, and i3.