In each of the drawings below a small electric charge is being moved within an e

Question

In each of the drawings below a small electric charge is being moved within an electric field. In each drawing E (the electric field) is the same, the charge that is being moved is the same, and the distance d that the charge is being moved is the same. Rank the three drawings in order from the most work done by E on the charge to the least work done by E on the charge.

Most work done on the charge by the electric field E:

Intermediate amount of work done by the elecric field E on the charge:

Least work done on the charge by the electric field E:

Possible answers:

1-Drawing C 2-Not enough Information 3-Drawing B 4-Drawing A

Explanation / Answer

here,

the work done by the electric feild , W = electric Force * d * cos(theta)

theta = angle between the displacement and the electric feild

for (a)

theta = 0 degree

then , cos(theta) = 1

therefore the work done in moving the charge is maximum

for (b)

theta = 90 degree

then , cos(theta) = 0

therefore the work done in moving the charge is 0

for (c)

theta = 30 degree

then , cos (30) = 0.877

therefore the work done is intermediate

Most work done on the charge by the electric field E in DRAWING A

Intermediate amount of work done by the elecric is in 1- DRAWING C

Least work done on the charge by the electric field E is in 3 - DRAWING B

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