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Three individual point charges are placed at the following positions in the x-y plane:Q3= 5.0 nC at (x, y) = (0,0);Q2= -3.0 nC at (x, y) = (
Question
Three individual point charges are placed at the following positions in the x-y plane:Q3= 5.0 nC at (x, y) = (0,0);Q2= -3.0 nC at (x, y) = (4 cm, 0); and Q1= ?nC at (x, y) = (2 cm,0);What isthe magnitude, and sign, ofcharge Q1such that the net force exerted on charge Q3, exerted bycharges Q1and Q2, is zero?
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Physics
3 years
2021-09-04T10:03:52+00:00
2021-09-04T10:03:52+00:00 1 Answers
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Answer:
Explanation:
net force exerted on charge Q₃, exerted by charges Q₁and Q₂, will be zero
if net electric field due to charges Q₁ and Q₂ at origin is zero .
electric field due to Q₂
= 9 X 10⁹ X 3 x10⁹ / .04²
electric field due to Q₁
= 9 X 10⁹ X Q₁ / .02²
For equilibrium
9 X 10⁹ X Q₁ / .02² = 9 X 10⁹ X 3 x10⁻⁹ / .04²
Q₁ = 3 X10⁻⁹ x .02² / .04²
= 3 / 4 x 10⁻⁹
.75 x 10⁻⁹ C