An electron is traveling in the positive x direction. A uniform electric field $\vec{E}$ is in the negative y direction. If a uniform magnetic field with the appropriate magnitude and direction also exists in the region, the total force on the electron will be zero. The appropriate direction for the magnetic field is :

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into the page

the positive y direction

the negative y direction

out of the page

answer is C.

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Detailed Solution

$\vec{F_{e}} + \vec{F_{m}} = 0$

$\Rightarrow \vec{F_{m}} = - \vec{F_{e}}$

So the direction of magnetic force should be along negative y-axis.

So for a electron moving along positive x-axis the direction of magnetic force will be along negative y-axis when the magnetic field is along negative z-axis(into the page).

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