Consider a point charge q-10s C what is the flux passing through a spherical she

Question

Consider a point charge q-10s C what is the flux passing through a spherical shell of radius R=10 cm with the point charge at its center? what is the flux passing through a spherical shell of Radius R=1 m with the point charge at its center? a) b) Hint: For the simple charge, the electric field is in the radial direction P, which is exactly the same as the normal to the surface (the spherical shell) fi .Also, the electric field is constant on the shell (since the shell represents a constant value of r-R, R is a constant). The electric field of a simple charge at distance ny from the charge : E(r) t Given: flux 0- (shell of radius R) dA for a spherical shell of radius R area of spherical shell 4TR2 (shell o ep Assume now that that point charge is surrounded by a cubic shell as shown, with the charge at its center. What is the flux f passing through the cubic shell? (Hint: The flux represents the number of field lines passing through a surface, think about that!)

Explanation / Answer

a) Using Gauss law

flux passing through the spherical shell = charge inside/epsilon_0

flux passing through the spherical shell = 10^-6/(8.854 *10^-12)

flux passing through the spherical shell = 1.13 *10^5 N.m^2/C

b) for the flux

flux passing through the spherical shell = charge inside/epsilon_0

flux passing through the spherical shell = 10^-6/(8.854 *10^-12)

flux passing through the spherical shell = 1.13 *10^5 N.m^2/C

c)

for a cube also ,

as the charge inside is not changing ,

flux passing through the cubic shell = charge inside/epsilon_0

flux passing through the cubic shell = 10^-6/(8.854 *10^-12)

flux passing through the cubic shell = 1.13 *10^5 N.m^2/C

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