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# A point charge produces an electric flux of $+235 \mathrm{~N} \cdot \mathrm{m}^2 / \mathrm{C}$ through a gaussian sphere of radius $45.0 \mathrm{~cm}$ centered on the charge. What is the magnitude and sign of the charge?

Solution

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The known values are given as follows:

• Electric flux: $\Phi = +235\mathrm{~\dfrac{N \cdot m^2}{C}}$
• radius of initial gaussian sphere: $r_i = 45.0\text{ cm}$
• radius of actual gaussian sphere: $r_a = 32.5\text{ cm}$

In this part of the exercise, we are asked to determine the magnitude and sign of the charge.

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