Finding zero field point from +7.88 μC charge in uniform 300 N/C field

[mcassi17]

A particle with charge +7.88 μC is placed at the fixed position x = 3.00 m in an electric field of uniform strength 300 N/C, directed in the positive x direction. Find the position on the x-axis where the electric field strength of the resulting configuration is zero.


the equation i have is E = kq/r^2

I have no idea where to start

 

[diazona]

There are two electric fields in this problem: the one produced by the charge (that's what your equation is for), and the uniform one. To get the total electric field, you just add the two up (remember that they're vectors). So can you write an equation that you can solve to find the position where the total electric field is zero?

 

[mcassi17]

So i would set it up to be -300 but that can't be because you can't have a negative square root.

 

[rl.bhat]

So i would set it up to be -300 but that can't be because you can't have a negative square root.

How did you get -300?
Net electric field will be zero on the negative x-axis. If d is the distance along the negative x-axis, where electric field is zero, then E = kq/d^2. Find the magnitude of d. Subtract 3 m to find the position on negative x-axis where E is zero.