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A point charge is placed at some distance from an infinitely large, flat sheet carrying a uniform distribution of charge coulombs per . What is the electric flux that this point charge produces through the sheet? The electric flux is the integral ; hence the product is , which equals the electric force that the point charge exerts on the sheet. Using the flux calculated in , evaluate this force. From the force exerted by the point charge on the sheet, find the force that the sheet exerts on the point charge. From this, find the electric field that the sheet produces at the position of the point charge.
The known values are given as follows:
- Electric flux:
- radius of initial gaussian sphere:
- radius of actual gaussian sphere:
In this part of the exercise, we are asked to determine the magnitude and sign of the charge.
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