A spherical shell contains three charged objects. The first and second objects have a charge of -16.0 nC and 34.0 nC re...
A spherical shell contains three charged objects. The first and second objects have a charge of -16.0 nC and 34.0 nC respectively. The total electric flux through the shell is -848 N
Homework Answers
According to Gauss's Law, electric flux is equal to enclosed charge divided by permittivity of space, or 8.85E-12. Enclosed charge is merely the sum of all the charges in the shell. Therefore, our equation becomes:
electric fluz = enclosed charge / 8.85E-12
-848 = (-16E-9 + 34E-9 + x) / 8.85E-12
where x is the unknown charge value. Notice that I wrote the given charges in terms of C rather than the give unit nC. This is to make sure all our units line up. Multiply both sides by 8.85E-12
-7.5048E-9 = -16E-9 + 34E-9 + x
Now just move the terms over to solve for x:
x = -25.5048E-9, or -25.5048 nC
Hope this helps!
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