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An electron enters a magnetic field at right angles to it, as shown in the figure. The direction of force acting on the electron will be
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According to , the direction of force is  to the direction of magnetic field. We know that the direction of current is taken  to the direction of motion of electrons.
 
Assume that the magnetic field is from left to right in the plane of the paper and the current is moving from down to up, again in the plane of the paper.
 
Now point your left hand fingers, so that your second finger points in the , your first finger points in the , then your thumb will give you the .
 
You can observe that the direction of force acting on the electron will be .