An infinite plasma containing a uniform magnetic field is considered. Self‐consistent solutions were found to two examples concerning the intensification of magnetic field by using magnetohydrodynamic equations with finite conductivity. In the first example, half of the infinite plasma moves perpendicular to the magnetic field and a finite amount of magnetic field is produced in the direction of motion of the plasma. When the velocity of the semi‐infinite plasma is assumed to be independent of time, the magnetic field produced is proportional tot½and it is possible to produce any amount of magnetic field. However, the later situation is not realistic. In the second example, it is assumed that att= 0 an external force alongxaxis acts in the region −a≤z≤aand produces a component of the magnetic field along its direction of motion. The application of this example to the sun shows that large convective cells rising in the presence of the magnetic field of the sun can give rise to a strong magnetic field (∼ 104G) in the direction of the convective motion.