How Does Lorentz Force Affect Work Done Despite No Energy Transfer?

[spidey]

From Lorentz force law,

F = q (v х B) = q v B sin θ
F = q v B [For θ = 90]

W = F * d = F d cos θ
w = 0 [For θ = 90]

How come we have a force but no work done?

 

[Phrak]

Do you think work should be done? Work is done where the force has a component in the direction of the velocity.

 

[spidey]

Do you think work should be done? Work is done where the force has a component in the direction of the velocity.

if w=0 then energy =0, then how the charge q goes at velocity v in field B.from where the charge q gets energy?

 

[Hootenanny]

if w=0 then energy =0

Not true. Counter-example: a particle sliding across a frictionless table with velocity v. There is no work being done, but then energy is non-zero.

then how the charge q goes at velocity v in field B.from where the charge q gets energy?

Perhaps, the charge was traveling at velocity v before it entered the magnetic field?