Question

In: Physics

A charge density σ(θ) = 4σ cos (θ) is glued over the surface of a spherical...

A charge density σ(θ) = 4σ cos (θ) is glued over the surface of a spherical shell of radius R. Find the resulting potential inside and outside the sphere.

Solutions

Expert Solution


Related Solutions

Surface charge sigma = sigma0 multiplied by cos theta is glued on the surface of a...
Surface charge sigma = sigma0 multiplied by cos theta is glued on the surface of a sphere of radius R. Find the electric field inside and outside the sphere. Calculate the electric dipole moment p of the system. Compare the field outside the sphere with the dipolar field.
A spherical shell of radius a has a uniform surface charge density σ and rotates with...
A spherical shell of radius a has a uniform surface charge density σ and rotates with a constant angular velocity ω in relation to an axis that passes through its center. In this situation, determine the magnetic dipole moment μ of the spherical shell.
Consider a spherical shell with radius R and surface charge density σ. By integrating the electric...
Consider a spherical shell with radius R and surface charge density σ. By integrating the electric field, find the potential outside and inside the shell. You should find that the potential is constant inside the shell. Why?
surface charge density which is σ=σ0 cosθ is distributed on the spherical shell with radius R...
surface charge density which is σ=σ0 cosθ is distributed on the spherical shell with radius R .Using the Laplace eqn find electric potential outside the sphere .
An infinitely long hollow cylinder of radius R is carrying a uniform surface charge density σ...
An infinitely long hollow cylinder of radius R is carrying a uniform surface charge density σ (φ). (a) Determine the general form of the solution of Laplace’s equation for this geometry. (b) Use the boundary condition σ(φ) = σ0cos(φ) to determine the potential inside and outside of the cylinder. (c) Using your answer to part (b), determine the electric field inside and outside of the cylinder.
Derive expressions for the surface current density and surface charge density, for the TE10 and TE11...
Derive expressions for the surface current density and surface charge density, for the TE10 and TE11 modes of a rectangular waveguide. The old answers on Chegg are either wrong or incomplete, please dont copy them.
An infinite nonconducting sheet has a surface charge density σ = 8.00 pC/m2. (a) How much...
An infinite nonconducting sheet has a surface charge density σ = 8.00 pC/m2. (a) How much work is done by the electric field due to the sheet if a particle of charge q = +1.60 ✕ 10−19 C is moved from the sheet to a point P at distance d = 3.52 cm from the sheet?     (b) If the electric potential V is defined to be zero on the sheet, what is V at P?
A spherical balloon is initially uncharged. If you spread positive charge uniformly over the balloon's surface...
A spherical balloon is initially uncharged. If you spread positive charge uniformly over the balloon's surface would it expand or contract? What would happen if you spread negative charge instead? According to my TA the correct answer is when it's positive charge it expands and when it's negative charge it contracts. What is the reasoning behind this? Please explain.
E field of a uniform and planar distribution of charge A uniform surface charge density of...
E field of a uniform and planar distribution of charge A uniform surface charge density of 5nC/m2 is present in the region x=0, -2<y<2 and all z. if ε=ε0, find E at: a) PA(3,0,0) b) PB(0,3,0).
E field of a uniform and planar distribution of charge A uniform surface charge density of...
E field of a uniform and planar distribution of charge A uniform surface charge density of 5nC/m2 is present in the region x=0, -2<y<2 and all z. if ε=ε0, find E at: a) PA(3,0,0) b) PB(0,3,0)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT