Magnetohydrodynamics - Derivation of PDE

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Summary:: partial differential equation (PDE) to describe the potential distribution φ in the system

Hey, I need some help with the following question:

We have a stationary electrolyte, a magnetic field "B" and a Current density "j" (2D).

Derive the partial differential equation (PDE) to describe the potential distribution φ in the system by balancing the charges first.

1613333524623.png


I don't know how to do anything?
1613333505396.png

https://www.physicsforums.com/attachments/277981
 
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Is this a homework problem?
 
jasonRF said:
Is this a homework problem?
Yes. Is it in the wrong forum part?
 
Yes. There is a separate homework section. I have asked the moderators to move this thread over there.
 

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