What is the strength of an electric field that will balance the weight of a 8.2 g plastic sphere that has been charged to -3.3 nC? Answer in N/C.

Approach: I know that the forces need to balance out, and that F=mg (mass*gravity) and that F=q*E (charge* electric field).
mg=qE
E=mg/q
Plugging in the numbers:
m = 8.2*10^-3 kg
q = -3.3*10^-9 C
g = 9.8*10^-3 N/g
And I get -24351.5152, but it's wrong. I know there is some error with the units, could someone show me what I am doing wrong?

Question

What is the strength of an electric field that will balance the weight of a 8.2 g plastic sphere that has been charged to -3.3 nC? Answer in N/C.

Approach: I know that the forces need to balance out, and that F=mg (mass*gravity) and that F=q*E (charge* electric field). 
mg=qE
E=mg/q
Plugging in the numbers:
m = 8.2*10^-3 kg
q = -3.3*10^-9 C
g = 9.8*10^-3 N/g
And I get -24351.5152, but it's wrong. I know there is some error with the units, could someone show me what I am doing wrong?

stormfire1 · Answer

I'm getting a different order of magnitude:$$(0.0082kg)(9.8 m/s^2)=(-3.3x10^{-9}C)E$$$$E=-2.44 x  10^7$$

anonymous · Answer

Thanks, I was messing up the order of magnitude of g.

stormfire1 · Answer

Yes, that's what I was just looking at.  Well good luck :)