Electric charges are distributed within a sphere. The radius of the sphere is r = a. At all locations, the permittivity is s = e0. Within the sphere, the volume charge density is given by pv = 2r times 10^-8 C/m^3. Outside of the sphere (i.e., r > a), the volume charge density is zero. The radius a is 10 cm. (a) Use the differential form of the Maxwell’s equations to determine the electric field intensity E at all locations. (b) Verify the results obtained in (a) is consistent with those obtained using the integral form of the Maxwell’s equations.

34 2 - Electric charges are distributed within a sphere. The radius of the sphere is r = a. At all locations, the permittivity is s = e0. Within the sphere, the volume charge density is given by pv = 2r times 10^-8 C/m^3. Outside of the sphere (i.e., r > a), the volume charge density is zero. The radius a is 10 cm. (a) Use the differential form of the Maxwell's equations to determine the electric field intensity E at all locations. (b) Verify the results obtained in (a) is consistent with those obtained using the integral form of the Maxwell's equations.

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images - Electric charges are distributed within a sphere. The radius of the sphere is r = a. At all locations, the permittivity is s = e0. Within the sphere, the volume charge density is given by pv = 2r times 10^-8 C/m^3. Outside of the sphere (i.e., r > a), the volume charge density is zero. The radius a is 10 cm. (a) Use the differential form of the Maxwell's equations to determine the electric field intensity E at all locations. (b) Verify the results obtained in (a) is consistent with those obtained using the integral form of the Maxwell's equations.

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