Question

QUESTION 1 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: 1. Not enough information to determine the answer 2. Drawing c v Intermediate amount of work done by the electric 3. Drawing b field E on the charge: 4. Drawing a Least work done on the charge by the electric field

Answer 1

we already know that w=f.d, where force is applied in the direction of movement of the particle.

thus, here for higher work we require more movement in the direction of the  electric field.

from this we come to know that W ∝ d (since, F=qE,and E &q are constant as given)

Word Done by A, W∝d (displacement is d)

Word Done by B W∝0 (displacement is 0)

thus, work done by E is zero since displacement along the direction of E is 0.

Word Done by C W∝ d*cos30 (displacement is d*cos30)

W∝ (0.866)d

W_A>W_C>W_B.