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.
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 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 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 .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 (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 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 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 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 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 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)