1)Work is dependent on the magnitude and type of electric charge we are trying t

Question

1)Work is dependent on the magnitude and type of electric charge we are trying to move, the strength of the electric field, the displacement and the angle the displacement makes with the electric field.

(a)If the angle the displacement makes with the electric field is 90degrees it means the charge is moving across (or perpendicular to) the field vectors. Is work being done and what is doing the work?
Will it be maximum, minimum or zero? Explain your answer with a diagram.

(b) If the angle the displacement makes with the electric field is 0degrees it means the charge is moving along (or parallel to) the field vectors. Is work being done? How will the angle here affect the work done, explain your answer with a diagram

Explanation / Answer

1)

see the force due to electric field is qE which is avector.

now work done due to forse is calculated as

W = F.s which is a scalar product. so though W is ascalar the operation done to calculate this are vector/. so you need toput the vector form.

here,

W = F.s =FScos(theta) (dot product).

as in the given problem theta =90 degree. and we know cos(90) = 0

so W= 0.

again as -1 <cos(theta) < 1. so the baove is not the minimum.

B. with the similar argument

we see

W = F*S*cos(0) =Fs which is the maximum value as -1 < cos(theta) < 1

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