the electric potential in a region of space is $$V=350/\sqrt{x ^{2}+y ^{2}}$$ where x and y are in meters. what is the strength of electric field at (x,y)=(2.6,2.8)m?

Question

anonymous · Answer

E=-dV/ds. gradient V= 350(-1/2)(x^2+y^2)^(-3/2)(2x)+350(-1/2)(x^2+y^2)^(-3/2)(2y). anything wrong so far?

anonymous · Answer

That kinda how i did it but I keep getting the wrong answer. Let me know if this formula worked for you

anonymous · Answer

my answer's not working either =/

turingtest · Answer

wrong so far is that you have written the gradient as a scalar when it is a vector

turingtest · Answer

$$\vec E=-\nabla V=<-350x(x^2+y^2)^{-3/2},-350y(x^2+y^2)^{-3/2}>$$now plug in the variables and find the magnitude of the vector

turingtest · Answer

the magnitude is given by$$\large |E|=\sqrt{E_x^2+E_y^2}$$

anonymous · Answer

thank you

turingtest · Answer

welcome, I hope it works

anonymous · Answer

worked!!

turingtest · Answer

sweet :D

anonymous · Answer

If you cartesian coordiante to spherical coordiante, you will find the answer easier.

anonymous · Answer

o yea but how? use r=sqrt(x^2+y^2) and then......? can't believe i can't remember how