An unknown additional charge q3 is now placed at point B, located at coordinates (0 m, 15.0 m ). Find the magnitude and sign of
q3 needed to make the total electric field at point A equal to zero.
1 answer:
The first part of the question is:
Two point charges are placed on the x axis. (Attached file)The first charge, q1 = 8.00 nC , is placed a distance 16.0 m from the origin along the positive x axis; the second charge, q2 = 6.00 nC , is placed a distance 9.00 m from the origin along the negative x axis.
Answer:
q3 = +0.3nc
Explanation:
Due to the vector symbols in the solution, I've decided to attach the explanation to this answer.
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Solution :
Let us consider the Gaussian surface that is in the form of a cylinder having a radius of r and a length of A which is .
The charged enclosed by the cylinder is given by,
(here, V =
is the volume of the cylinder)
If is positive, then the electric field lines moves in the radial outward direction and is normal to Gaussian surface which is distributed uniformly.
Therefore, total flux through Gaussian cylinder is :
Now using Gauss' law, we get
or
Therefore, the electric field is
Hence, option (d) is correct.
