Using Gauss's Law - AP Physics C Electricity & Magnetism

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Question

A charge, , is enclosed by two spherical surfaces of radii and , with . The cross-sectional side view is shown.

Ps0_gauss

Which is the correct relationship between the electric flux passing through the two spherical surfaces around the point charge?

Answer

Electric flux is given by either side of the equation of Gauss's Law:

Since the charge is the same for both spherical surfaces, even though these surfaces are of different radii, the amounts of electric flux passing through each surface is the same.

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Question

A charge, , is enclosed by two spherical surfaces of radii and , with . The cross-sectional side view is shown.

Ps0_gauss

Which is the correct relationship between the electric flux passing through the two spherical surfaces around the point charge?

Answer

Electric flux is given by either side of the equation of Gauss's Law:

Since the charge is the same for both spherical surfaces, even though these surfaces are of different radii, the amounts of electric flux passing through each surface is the same.

Compare your answer with the correct one above

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