Forces on an electron: find the work during displacement

AI Thread Summary
The discussion focuses on calculating the work done by a force acting on an electron as it moves along different paths from the origin to the point (L, L). The force is defined as F = Cxj, where C is a positive constant and both F and xj are vectors. Participants are asked to determine the work done for three distinct paths of displacement. The key equation mentioned is that work done equals the force dot product with displacement. Clarification on the problem and assistance in solving it are requested.
pedro_infante
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1. The problem statement
Consider the electron and the force on the electron is F=Cxj, where C is a positive constant. F, xj are vector?

Homework Equations



Consider the electron and the force on the electron is F=Cxj, where C is a positive constant. (F, xj are vectors)

a) The electron travels from the point (0, 0) to the point ( L , L ) along the straight line from (0, 0) to (0,L) and then along the straight line from (0,L) to ( L, L). What is the work done by the force F during this displacement?

b.)The electron travels from the point (0, 0) to the point ( L, L) along the straight line from (0, 0) to (L , 0) and then along the straight line from (L , 0) to (L ,L). What is the work done by the force F during this displacement?

c.)The electron travels from the point (0, 0) to the point (L ,L ) along the straight line from (0, 0) to (L ,L ). What is the work done by the force F during this displacement?

I do not recall doing a problem like this in class. Can anyone help me out?
 
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ola pedro_infante! :wink:

work done = force "dot" displacement

Does that help? :smile:
 
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