E-field at (2[m], 30⁰, 90⁰) is E = 4aѳ [V/m]. Find the magnitude and direction of the dipole moment p.
I know that I need I need to solve for the equation: p = Qd, where Q is the point charge at the given point and the distance between +Q and -Q, which should be 4[m].
The other equation I know of that may lead me in the right direction is:
E = [(Qd)/(4∏єor3)]*(2cosѳ*ar + sinѳ*aѳ).
The Attempt at a Solution
The only thing wrong with the E equation above is that in my text it states that this equation is only valid when the point charges (+Q and -Q) are aligned with the z-axis. My question is what formula (or what variation of the formula above) do I use to determine what I need? It seems as if I need to solve for Q and d to solve for dipole moment. I know that the d vector is directed from -Q --> +Q. How would I determine the vector from this?
Thank you for all of the help in advance! I greatly appreciate it!