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Exercise:
A charge of qO is placed at the center of a cube of edge aO. No other charges are nearby. abcliste abc Calculate the flux of the electric field through the whole surface of the cube. abc Find the flux through each face of the cube. abc Would the results be different if the charge were not at the centre? abcliste

Solution:
Using Gauss's law we find abcliste abc Phi pF fracqnceps papproxpP abc Because of the symmetry of the setup we can conclude that the flux is the same for each face of the cube. It follows Phi_textface pfF pfapproxpfP abc The total flux through the surface of the cube would be the same since the flux through a closed surface only deps on the enclosed charge. The flux per face on the other hand does dep on the position of the charge. It is only evenly spread if the field is symmetrical with respect to the six faces. abcliste
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Exercise:
A charge of qO is placed at the center of a cube of edge aO. No other charges are nearby. abcliste abc Calculate the flux of the electric field through the whole surface of the cube. abc Find the flux through each face of the cube. abc Would the results be different if the charge were not at the centre? abcliste

Solution:
Using Gauss's law we find abcliste abc Phi pF fracqnceps papproxpP abc Because of the symmetry of the setup we can conclude that the flux is the same for each face of the cube. It follows Phi_textface pfF pfapproxpfP abc The total flux through the surface of the cube would be the same since the flux through a closed surface only deps on the enclosed charge. The flux per face on the other hand does dep on the position of the charge. It is only evenly spread if the field is symmetrical with respect to the six faces. abcliste
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Branches
Electrostatics
Tags
electric field, electrostatic, flux, gauss
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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