Acharge moves from point a to point b in an electric field. what is true in general about the energy of the charge?

a. the sum of the potential energy and the kinetic energy at a is the same as that at b.
b. the sum of the potential energy and the kinetic energy at a is greater than that at b.
c. the sum of the potential energy and the kinetic energy at a is less than that at b.
d. the sum of the potential energy and the kinetic energy at b fluctuates.

: )

Since there is no frictional loss or any other type of resistive loss in this motion of charge from one position of electric field to other position. So here we can say that total mechanical energy of the charge system will remain conserved always

So here we can say that mechanical energy is sum of kinetic energy and electrostatic potential energy which will remains conserved always

So here correct answer will be

A). The sum of the potential energy and the kinetic energy at A is the same as that at B.

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u=13

v=30

s/t=u+1\2at

=13+431/2

=13+265.5

=278.5