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# Accelerated electron - Calculation of electric field

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An electron is accelerated eastward at 1.4x109 m/s2 by an electric field. Determine the magnitude and direction of the electric field.

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The value of the field can be calculated from the force that the field exerts on the charge (This is the definition of the electric field). Remember that electric field and force are vector quantities.(force is proportional to the acceleration produced) Let's take the +X axis along the eastward direction. Since the charge is moving in the eastward direction, the direction of acceleration will also be in the east direction.
Acceleration is a = a i (i is the unit vector along the +X direction, bold type denotes that the quantity is a vector)

Remember the fact that the electric lines of force originate from the +ve charge and end up on the -ve charge. The electron, being negatively charged, will always move toward the +ve charge. That is, the direction of motion of the electron will have a tendency to be in the opposite of the electric field.

View that attached document for mathematical steps.

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