E X B instability with sheared magnetic field

The cross-field instability is ubiquitous in all electromagnetic systems. Effect of this instability is studied rigorously in plasma system with steady external magnetic field. Therefore, we have considered a sheared magnetic field to study the E X B instability which is observed in the internal transport barrier of fusion machines. Depending on the relation between y {\&} L$_{\mathrm{S\thinspace }}$we have considered three different regimes. The response of the magnetic shear, i.e. y/L$_{\mathrm{S}}$, (where, y is the magnitude of the applied magnetic field along y-direction and L$_{\mathrm{S\thinspace }}$is the shear length) is then estimated which shows few interesting features.