Two point charges, Q 1 and Q 2 , are placed at (0,0) and (3,0) as shown. The gri

Question

Two point charges, Q1 and Q2, are placed at (0,0) and (3,0) as shown. The grid spacing is in meters.

Assume the charges are glued into place.

1) There is a point on the x-axis where a small positive test charge would feel no net force from Q1 and Q2. In which region is this point located?

**Correct answer displayed, please explain

Two point charges, Q1 and Q2, are placed at (0,0) and (3,0) as y (m) shown. The grid spacing is in meters. Assume the charges are glued into place. x (m) 5HuC +4HC 1) There is a point on the x-axis where a small positive test charge would feel no net force from Q1 and Q. In which region is this point located? x 0 o between x 0 and x 3 x 3 Submit You currently have 3 submissions for this question. Only 6 submission are allowed. You can make 3 more submissions for this question. Your submissions: C Submitted: Saturday, May 6 at 8:41 PM Feedback Right Answer

Explanation / Answer

1)

let the test charge "q" be distance "r" to the right of charge Q2

d = distance between charge Q1 and Q2

F1 = force by charge Q1 on q towards left = k Q1 q/(d + r)

F2 = force by charge Q2 on q towards left = k Q2 q/(r)

using equilibrium of force

F1 = F2

k Q1 q/(d + r) = k Q2 q/(r)

(5 x 10-6)/(3 + r) = (4 x 10-6)/r

r = 12 m

hence r > 3

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