Is the potential in this quadrupole setup correct?

[beardo34]

Hello,

I have a problem where a charged particle is residing in a two dimensional quadrupole where the electric potential is given by ψ(x,y,t) = (V/ro)*(x^2 + y^2)*Cos(Ωt). Where we are supposed to use the values V = 150 volts, ro (which is the distance from the center to one of the surface walls) = 3mm, and Ω = 500,000 Hz.

My question is, is that potential the correct potential? It looks to me like the above potential gives units of Volts*meters instead of the correct units of Volts. Am I confused or should I say something to my professor? (I feel like the potential should be ψ(x,y,t) = (V/ro)*Sqrt(x^2 + y^2)*Cos(Ωt)

I appreciate the help

 

[vela]

Looks wrong to me. Ask your professor for clarification.

 

[beardo34]

thanks for responding vela