Question #276435

2. Find the total flux ΦE passing through the sides of a cube 1.00 m on a side if a point charge of 5.00 × 10−6 C is located at its center.


1
Expert's answer
2021-12-07T20:53:06-0500

Using Gauss's law ϕ=QE\phi=\frac{Q}{\Epsilon}


ϕT=5×1068.854×1012\phi_T=\frac{5×10^{-6}}{8.854×10^{-12}}


=5.647×105Nm2/C=5.647×10^5Nm^2/C


For one side ϕ=16×5.647×105\phi=\frac{1}{6}×5.647×10^5

=9.412×104Nm2/C=9.412×10^4Nm^2/C


For all sides =6ϕ=6\phi

=5.647×105Nm2/C=5.647×10^5Nm^2/C


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