The magnitude of the source charge is 3 μC which generates 4286 N/C of the electric field. Option B is correct.
What does Gauss Law state?
It states that the electric flux across any closed surface is directly proportional to the net electric charge enclosed by the surface.
[tex]Q = \dfrac {ER^2}k[/tex]
Where,
[tex]E[/tex] = electric force = 4286 N/C
[tex]k[/tex] = Coulomb constant = [tex]8.99 \times 10^9 \rm\ N m ^2 /C ^2[/tex]
[tex]Q\\ [/tex] = charges = ?
[tex]r[/tex] = distance of separation = 2.5 m
Put the values in the formula,
[tex]Q = \dfrac {4286\times 2.5 ^2}{8.99 \times 10^9 }\\\\ Q = 3\rm \ \mu C[/tex]
Therefore, the magnitude of the source charge is 3 μC.
Learn more about Gauss's law:
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