Spherical Symmetry (outside sphere): Asphere of radius b has charge distributed uniformly over its volume. We want to find the electric field at a point P a distance from the center of the sphere. Here we assume that ? > b so thatP is outside the sphere. a. From symmetry, which statement below must be true regarding the direction of the electric field? Choose one! i. The electric field points upwards everywhere. i. The E field is tangent to the surface of the sphere everywhere. ii. The E field is radial everywhere. (Radial means away or towards the center of the sphere.) b. From the symmetry, which statement is true regarding the magnitude & = |||| due to the sphere? Choose one! i. E depends on the polar angle only. i. E depends on the distance from the center only. ii. E depends on both and 7. P c. Draw the Gaussian surface you need to determine the electric field at point P. Check that your surface that has ALL the following properties: • The surface must be closed since Gauss's law only holds for closed surfaces. The surface must go through the point P since we want to know the electric field at that point. • The surface must have a = & cose constant on the surface in order to make the flux integral easy.
Spherical Symmetry (outside sphere): Asphere of radius b has charge distributed uniformly over its volume. We want to find the electric field at a point P a distance from the center of the sphere. Here we assume that ? > b so thatP is outside the sphere. a. From symmetry, which statement below must be true regarding the direction of the electric field? Choose one! i. The electric field points upwards everywhere. i. The E field is tangent to the surface of the sphere everywhere. ii. The E field is radial everywhere. (Radial means away or towards the center of the sphere.) b. From the symmetry, which statement is true regarding the magnitude & = |||| due to the sphere? Choose one! i. E depends on the polar angle only. i. E depends on the distance from the center only. ii. E depends on both and 7. P c. Draw the Gaussian surface you need to determine the electric field at point P. Check that your surface that has ALL the following properties: • The surface must be closed since Gauss's law only holds for closed surfaces. The surface must go through the point P since we want to know the electric field at that point. • The surface must have a = & cose constant on the surface in order to make the flux integral easy.
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quesiton 7 and part a,b,c
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