Question
In: Physics
A spherical shell is cut into two halves that remain forming the sphere, but are electrically...
A spherical shell is cut into two halves that remain
forming the
sphere, but are electrically isolated from each other at a
negligible distance. The nortern hemisphere is at potential +V_0
and the southern
hemisphere is at potential -V_0. Obtain the potential V (r, θ, ϕ)
inside and outside of the sphere.
Solutions
genius_generous answered 1 year agoRelated Solutions
In Figure, a solid sphere of radius a is concentric with a spherical conducting shell of...
In Figure, a solid sphere of radius a is concentric with a
spherical conducting shell of inner radius b = 2.00a and outer
radius c = 2.40a. The sphere has a net uniform charge q1 (> 0);
the shell has a net charge q2 = -q1.What is the magnitude of the
electric field at radial distances (a) r = 0, (b) r = a/2.00, (c) r
= a, (d) r = 1.50a, (e) r = 2.30a, and (f)r = 3.50a?...
A conducting sphere is placed within a conducting spherical shell as shown in the figure below....
A conducting sphere is placed within a conducting spherical
shell as shown in the figure below. The conductors are in
electrostatic equilibrium. The inner sphere has a radius of 1.50
cm, the inner radius of the spherical shell is 2.25 cm, and the
outer radius of the shell is 2.75 cm. The inner sphere has a charge
of 225 nC, and the spherical shell has zero net charge.
A sphere with radius a = 8 cm is in a conductive sphere shell with an...
A sphere with radius a = 8 cm is in a conductive sphere shell
with an internal radius of b = 12 cm and an outer radius of c = 18
cm with a load of -200 mC.
a) Determine the load distribution in the sphere and sphere
shell.
b) Calculate the value of the electric field in r = 0 cm, r = 4 cm,
r = 8 cm, r = 10 cm, r = 14 cm, r =...
A capacitor consists of two concentric spherical shells. The outer radius of the inner shell is...
A capacitor consists of two concentric spherical shells. The
outer radius of the inner shell is a = 0.1 m and the inner radius
of the outer shell is b = 0.2 m. a. What is the capacitance, C, of
this capacitor? b. Suppose the maximum possible electric field at
the outer surface of the inner shell before the air starts to
ionize E max(r=a) = 3.0*10^6 V/m . What is the maximum possible
charge on the inner capacitor? c....
A capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere...
A capacitor is formed from two concentric spherical conducting
shells separated by vacuum. The inner sphere has radius 10.0cm ,
and the outer sphere has radius 16.0cm . A potential difference of
150V is applied to the capacitor.
1-What is the energy density at r = 10.1cm , just
outside the inner sphere? (J/m^3)
2-What is the energy density at r = 15.9cm , just
inside the outer sphere?
A spherical shell has inner radius RinRin and outer radius RoutRout. The shell contains total charge...
A spherical shell has inner radius RinRin and outer radius
RoutRout. The shell contains total charge QQ, uniformly
distributed. The interior of the shell is empty of charge and
matter.
Part A
Find the electric field strength outside the shell,
r≥Routr≥Rout.
Part B
Part complete
Find the electric field strength in the interior of the shell,
r≤Rinr≤Rin.
Part C
Find the electric field strength within the shell,
Rin≤r≤RoutRin≤r≤Rout.
Show that the moment of inertia of a spherical shell of radius R and mass M...
Show that the moment of inertia of a spherical shell of radius R
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without slipping a distance L down
a plane inclined at a angle θ to the horizontal. Find expressions
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Charge q = + 15 nC is uniformly distributed on a spherical shell that has a...
Charge q = + 15 nC is uniformly distributed on a
spherical shell that has a radius of 120 mm.
1. What is the magnitude of the electric field just outside the
shell? (Express your answer with the appropriate units.)
2. What is the magnitude of the electric field just inside the
shell? (Express your answer with the appropriate units.)
3. What is the direction of the electric field just outside and
just inside the shell?
a. radially inward just...
A positively charged particle is held at the center of a spherical shell. The figure gives...
A positively charged particle is held at the center of a
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A solid metal sphere of radius a = 1.30 cm is surrounded by a concentric spherical...
A solid metal sphere of radius a = 1.30 cm is surrounded by a
concentric spherical metal shell of inner radius b = 3.40 cm and
outer radius c = 3.90 cm. The inner sphere has a net charge of Q1 =
3.30 μC, and the outer spherical shell has a net charge of Q2 =
-8.00 μC.
What is the radial component of the electric field Er at a point
located at radius r = 3.10 cm, i.e. between...
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