please make sure you do all parts and you do have the right answers for them. A-

Question

please make sure you do all parts and you do have the right answers for them.

A- An electric field is given by Ex = 4.5x3 kN/C. Find the potential difference between the points on the x axis at x = 1 m and x = 2 m.
..... kV

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B- Protons are released from rest in a Van de Graaff accelerator system. The protons initially are located where the electric potential has a value of 5.25 MV and then they travel through a vacuum to a region where the potential is zero.

Find the final speed of these protons.
.... m/s

Explanation / Answer

the potential difference is vcalculated as follows:

dV = - int[Ex dx] = - 4.5[x4/4] = -{4.5/4}[24 - 14] = -16.875 kV

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the speed is calculated as follows:

v = sqrt [2qV/m] = sqrt[2*1.6x10-19*5.25x106 / 1.67x10-27] = 3.17e+7 m/s

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