Is Magnetic Field Work Always Zero in Current-Carrying Conductors?

AI Thread Summary
The discussion centers on the work done by magnetic fields in current-carrying conductors. It clarifies that while magnetic forces do not do work on charges moving in a magnetic field (as the force is always perpendicular to the motion), the overall work done in the scenario presented is non-zero due to the external agent's influence. The confusion arises from the distinction between magnetic force and the work done by external forces. The participants agree that when a force acts perpendicular to an object's motion, the work done is zero, but this does not apply to the external work being done in the scenario. Ultimately, the book's assertion that work is being done is correct.
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Two straight current carrying conductors A and B are lying in a vertical plane as shown.The separation between them is h and mass per unit length of wires is λ.Keeping one wire fixed (say A),Bis raised by small hieght δh.
Q-1 What would be the work done by external agent?
Q-2 Will the work done by magnetic field zero?[Answer this question first. I m confused since i was told that the work done by magnetic force(just magnet force not Lorentz) is always zero.But the book says "Work done is non zero",i think the book's wrong]
 
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The book is right work is being done as F.ds is working .
In the case you are talking about F.ds the angle is 90 degree that's why no work done.
 
is the work done by magnetic force always zero??
 
See , when magnetic force acts on a charge , it doesn't change its speed , it just gives it centripetal acceleration . And direction of force is always perpendicular to motion .
I can say when ever Force is acting perpendicular to the motion of the body , work done is zero .
 
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