Question

A solid spherical no-conductor of radius 14.5cm has a uniform
charge density of p=3.70uC/m**3

(a) Find the magnitude of the electric field af a distance of
8.5 cm from the center of the sphere.

B-find the electric field at a distance of 21.0 cm from the
center of the sphere

C-Now consider a solid sphere conductor of same radius with
the same total charge as the non conductor sphere in part (a)

Find the electric field at the two distance indicated in parts
(a) and (b)

Answer #1

A
solid spherical charge insulator of radius R carries a uniform
charge density of p.
A) Derive an equation for the electric field as a function of
the radical position inside the sphere using electric flux
and a Gaussian surface of variable radius.
B) Derive an equation for the electric field as a function of
the radial position outside the sphere.
C) Multiply your results from parts A and B with some test
charge, are these results consistent with
coulombs...

A nonconducting solid sphere of radius 9.10 cm has a uniform
volume charge density. The magnitude of the electric field at 18.2
cm from the sphere's center is 1.77 103
N/C.
(a) What is the sphere's volume charge density?
µC/m3
(b) Find the magnitude of the electric field at a distance of 5.00
cm from the sphere's center.

Charge of uniform volume density ρ = 2.10 µC/m3 fills
a nonconducting solid sphere of radius 5.60 cm. What is the
magnitude of the electric field (a) 1.80 cm and
(b) 8.80 cm from the sphere's center?

A solid sphere of radius 50.0 cm has a charge of 12.0
uC. If the charge density varies with radial distance
according to the equation p=kr, where k is a constant:
A) find the electric field at 30.0 cm from the sphere's
center.
B) find the electric field at 60.0 cm from the sphere's
center.

A solid spherical nonconductor with a radius of 0.25m contains
an interior charge density (Q/V) of 1.00*10-6
r3 C/m3 where r is the distance from the
center of the sphere.
a) Determine an expression for the total charge within a radius
r less than or equal to 0.25m
b) Determine an expression for the total charge contained within
the nonconducting sphere
c) Using Gauss' Law find an expression for the magnitude of the
electric field within the sphere as a...

A solid, nonconducting sphere of radius R = 6.0cm is charged
uniformly with an electrical charge of q = 12µC. it is enclosed by
a thin conducting concentric spherical shell of inner radius R, the
net charge on the shell is zero.
a) find the magnitude of the electrical field
E1 inside the sphere (r < R) at the
distance r1 = 3.0 cm from the center.
b) find the magnitude of the electric field E2
outside the shell at the...

A sphere with a radius of 0.232 m has a uniform charge density
and a total charge of 70.5 mC. What is the magnitude of the
electric field at each of the following locations?
(a) a distance of 0.150 m from the center
N/C
(b) a distance of 0.232 m from the center
N/C
(c) a distance of 0.550 m from the center
N/C

A solid sphere of nonconducting material has a uniform positive
charge density ρ (i.e. positive charge is spread evenly throughout
the volume of the sphere; ρ=Q/Volume). A spherical region in the
center of the solid sphere is hollowed out and a smaller hollow
sphere with a total positive charge Q (located on its surface) is
inserted. The radius of the small hollow sphere R1, the inner
radius of the solid sphere is R2, and the outer radius of the solid...

A spherical cavity with a radius of 4.50 cm is located in the
center of a metallic sphere with a radius of 18 cm. A point charge
Q = +5.50 μC is located in the center of the cavity, while the net
charge in the metallic conductor is Q '= -4.50 μC.
a) Determine the load on the surface of the conductor around the
cavity and on the outer surface of the conductor.
b) Find the magnitude of the electric...

A point charge of -3.00 μC is located in the center of a
spherical cavity of radius 6.70 cm inside an insulating spherical
charged solid. The charge density in the solid is 7.35 × 10−4 C/m3.
a) Calculate the magnitude of the electric field inside the solid
at a distance of 9.40 cm from the center of the cavity. b) Find the
direction of this electric field.

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