Electric Field at Ro, Phi, and Z Help

[akhdz]

A 2[$$\mu$$C] point charge is located at A(4,3,5) in free space. Find E$$\rho$$, E$$\phi$$, and Ez at P(8,12,2).

I know I have to start off in rectangular, convert to cylindrical coordinates. I know how to find the R vector and |R|.

Since it says there is a point charge, do I need to integrate anything? How would I find the 3 different components?

 

[tiny-tim]

Welcome to PF!

Hi akhdz! Welcome to PF!

(have a mu: µ and a rho: ρ and a phi: φ )

A 2[$$\mu$$C] point charge is located at A(4,3,5) in free space. Find E$$\rho$$, E$$\phi$$, and Ez at P(8,12,2).

I know I have to start off in rectangular, convert to cylindrical coordinates. I know how to find the R vector and |R|.

Since it says there is a point charge, do I need to integrate anything? How would I find the 3 different components?

(No, no integration needed.)

What is the magnitude and direction of E?

What are E_x E_y and E_z ?

What are the directions of e_ρ and e_φ ?