Electric Field due to Charged Sphere

AI Thread Summary
To determine the electric field due to a charged sphere, the relevant equation is Electric Field Strength = 1/(4*pi*EpsilonNaught)*q/r^2. The problem involves calculating the charge magnitude, q, at a point outside the sphere, treating the sphere as a point charge. The calculated charge is -8.34 micro coulombs, but the resulting answer does not match the expected values. The discussion seeks clarification on potential errors in assumptions or calculations. Understanding the treatment of the sphere as a point charge is crucial for accurate results.
tomizzo
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Homework Statement



Refer to the attached photo for the problem statement.


Homework Equations



Electric Field Strength = 1/(4*pi*EpsilonNaught)*q/r^2

The Attempt at a Solution



So, I need to find the charge magnitude of q. Because the electric field strength is given at a point greater than the radius of the sphere, that should allow me to treat the entire sphere and point charge as a single point charge.

Using the above formula, I get the net charge to be -8.34 micro coulombs. I take this number and then subtract the charge from the sphere and should be getting the correct answer. However, I'm getting an answer not listed. Am I making an incorrect assumption somewhere?
 

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