Apositive point charge on a 2-d plane starts at the position (2 cm, 7 cm). it moves along an equipotential line to the position (10 cm, 7 cm). the plane is oriented parallel to a
uniform electric field of 120 n/c. how much work does the electric field do in this scenario? (answer in joules, j. you do not need to type the units, only the number.)

W = 0

Explanation:

given data:

starting position is ( 2cm , 7 cm)

ending position is  (10 cm, 7 cm)

we know thta work done is given as

here , q is particle charge

is change in potential

as we know that intial and final position are having uniform eleectric potential, therefore it have same potential i.e. V_1 = V_2, thus

one more reason of being work done equal to zero is,

Since the distance covered by the item and the direction of motion is always perpendicular to each other during the round journey, no work is therefore carried out.

W = 0

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach