L26.2 Separation of variables - Cartesian coordinates - Example 3.3

#electrodynamics #griffiths #sayphysics
Example 3.3:
Consider two infinite grounded metal plates positioned parallel to the xz plane-one at y = 0 and the other at y = a. The left end, located at x = 0, is sealed with an infinite strip that is insulated from the two plates and held at a specific potential Vo(y). Determine the potential within this isolated 'slot.'
In this Lecture, we will discuss the intricacies of solving partial differential equations using the separation of variables method within the context of Cartesian coordinates. Through a comprehensive example (Example 3.3), we illustrate the step-by-step process of separating variables to simplify complex equations, offering viewers a clear understanding of this fundamental technique in electrodynamics. Join us as we demystify the intricacies of electromagnetic phenomena through mathematical precision.
"Grounded metal plates"
"xz plane"
"parallel plates configuration"
"infinite strip"
"specific potential"
"potential analysis"
"electrodynamics example"
"separation of variables"
"Cartesian coordinates"
"electromagnetic phenomena"
"physics problem-solving"
"infinite grounded plates"
"potential distribution"
"isolated slot"
"physics tutorial"
"mathematical precision"
"electric potential"
"parallel plates setup"
"electrostatics"
"physics education"

[@mahboobilahibsphysicsstude5737]

great❤

[@SAYPhysics]

Thanks dear.

[@roccomancuso9345]

Sir, will the general solution (with no boundary conditions) always be the same? thanks

[@SAYPhysics]

Yes. That's why it's called general doltu