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.

total energy at any point is the sum of kinetic energy and potential energy. here the charge is in electric field region, hence it has electric potential energy.

As the charge moves from one point A to another point, the sum of electric potential energy and kinetic energy always remains same. This is as per conservation of energy principle.

hence the correct choice is

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

step-by-step explanation:

we are given

we have to simplify it

firstly, we will factor it

now, we can cancel like terms

now, we can combine it

so, we get

a skateboard rolling across the street - apex