Compute the surface charge density on the belt

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To compute the surface charge density on a charge belt moving at 40 m/s and carrying a current of 100 µA, the relevant equations involve current density and charge density. The current density J can be calculated using J = I/A, where A is the cross-sectional area. The discussion highlights the need to visualize the charge passing over a given time and distance to derive the correct surface charge density. After applying the equations and understanding the relationship between charge, current, and velocity, the surface charge density is determined to be approximately 5 µC/m². The conversation emphasizes the importance of showing work and understanding the physics behind the calculations.
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I need the answer to this question

A charge belt, 50cm wide, travels at 40m/s between a source of charge and a charging object at a rate corresponding to 100microA . Compute the surface charge density on the belt

Some one told me the answer may be 5 microC/m2 but how ??
 
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You will need to put in some effort if you want help. For example, list some of the equations you have been trying and show some work.
 


I try this but i don't no if it is right
J=I/A=100*10^-9 /0.5*1
also J=(ne) V
then ne(q)=J/v
and then i take the q as the surface charge density
and it well = 5*10^-9
 


The units do not come out right at all in that last equation.

You know the current and that is just dq/dt. That is the same as saying dq charge passes by in a time dt. So draw a picture of how much charge passes by in a time dt, knowing the width of the belt and how fast it is moving.
 


Thanx Nickjer For your help I finally get it
 

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