Physics help? I cannot seem to figure out how to set-up this problem?

Question

The question is
The electric field midway between two equal but opposite point charges is 845 N/C, and the distance betwee the charges is 16.0cm. What is the magnitude of the charge on each?

Any help is appreciated. What I have so far is this equation but I do not know what or how to get Q1 or Q2

The numbers are just subs to identify the separate points.
E= (k)(Q1/r21)(1+ [(Q2/Q1)/(r22/r21)

Answer 1

Hmmm?

Never mind the numbers, let’s do the equations first.

E(total)=E1+E2=
=k(q1/(r1)^2+q2/r2^2)

If you wonder why I used a plus sign. I used it since the test charge is in the middle and would experience force from either of the charges in the same direction.

Since charges are equal and so are the distances we have

E(total)=2kq/r^2

So q=E(total) r^2/(2k)

Now we can use numbers

R=16/2=8cm =.08meters
E(total)= 845N/C
k=1/(4 Pi ε0)
ε0= 8.8541878176 × 10E−12 F/m (or C2/Jm) (permeability of free space))


q=E(total) r^2/(2k)=
=(845(08)^2)/(2/(4 (3.14…)8.8541878176 × 10E−12) =
=(5.408)/(17. 975× 10 E 9)=
q=3× 10 E−10 C

Answer 2

You've made this too complicated for yourself. There's only one charge to find, q. One point has a charge of +q and the other has a charge of -q. The distance from each is 8 cm (midway between their 16 cm distance) and you've been given E. That should be enough to solve the equation.

Answer 3

The question isn't clever ... and so does the respond. you have 3 variables interior the equation: F, m and a. with out taking any dimension you have not any thought of ways lots tension is being exerted: you do not it is the greater beneficial mass, what a is or what F is (bear in concepts, no measurements). this is why the question isn't clever. Mas isn't in direct share to the tension. The mass of an merchandise isn't a function of the tension you prepare to it: it is easy hardship-loose sense, you don't get fat using fact a tension is utilized to you. The acceleration a is proportional to the tension: for a given merchandise, which has a given and unchanging mass, to get greater acceleration you like greater tension. this is why the respond isn't clever.