Which are the null components (in a Cartesian coordinate system) of the Electric field of uniformly charged plane in $x=0$?
I consider the coordinates : $(x,y,z)$
I think that $E_x = 0$, $E_y \ne 0$, $E_z = 0$
Is it correct?
Thanks!
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$\begingroup$ Welcome to Physics Stack Exchange Elsa. Please note that this is not a homework help website. We do not check your work. That is your teacher's job. meta.physics.stackexchange.com/questions/714/… $\endgroup$– sammy gerbilCommented Jun 21, 2016 at 1:32
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2 Answers
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Assuming y is perpendicular to the plane, you are correct, by symmetry you cannot have a preferred direction along the plane, so the electric field components must be zero
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The plane is an equipotential surface. Since the electric field is the (negative) gradient of the potential, the electric field can have no non-zero component parallel to the surface.
answered Jun 20, 2016 at 21:07