Posted by Natasha on Tuesday, July 3, 2012 at 5:22pm.
Between the charges, E is never zero, as it is in the same direction (towards the -17). To the left of the two charges, assuming the -17 is leftmost, one has E from the - charge to the right,and E from the + charge to the left. I suspect there wont be a zero there, lets check:
Etotal=17k/x^2-3.6k/(3.2+x)^2=0?
17(3.2^2+6.4x+x^2)=3.6x^2
I am working this now approxiamtely, in my head, you do it accurately.
173+106x+17x^2-3.6x^2=0
12.4x^2+106x+173)=0
x=(-106+-sqrt(106^2-4*12.4*173))/25
x=about -4+-2.5
but x has to be + in this model. No solution to the left.
Now to the right of the 3.6microC, same idea
E=3.6k/x^2-17k/(x+3.2)^2=0
this changes the equation to
17x^2=3.6(x^2+6.4x+10.2)
13.4x^2-20.5x-37=0 appx
x=(20.5+-sqrt(20.5^2+4*13.4*37)/26.8
= 20.5/26.8 +-48/26.8
= .76+- 1.79
but x must be positive, so x=2.55m to the right of the positive charge. Of course, check it, I did it in my head.
Related Questions
physics 2 - Two charges, -17 and +3.6 µC, are fixed in place and separated...
physics - Two charges, -37 µC and +3 µC, are fixed in place ...
Physics - Two charges, -15 and +4.5 µC, are fixed in place and separated ...
physics - help! Two charges A and B are fixed in place, at different distances ...
physics - Two charges A and B are fixed in place, at different distances from a ...
Physics - Two charges A and B are fixed in place, at different distances from a ...
Physics - Two charges A and B are fixed in place, at different distances from a ...
physics - I have these problems that I keep doing and keep missing. If someone ...
physics - two -8.1 nC charges, are each separated by 5.0 mm from a proton. If ...
physics - I want to understand this concept more than anything so advice as well...
For Further Reading
