Question
A spherical capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner...
A spherical capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has a radius of rarar_a = 12.5 cmcm , and the outer sphere has a radius of rbrbr_b = 14.9 cmcm . A potential difference of 120 VV is applied to the capacitor.
Part A
What is the capacitance of the capacitor?
Use ϵ0 = 8.85×10−12 F/mF/m for the permittivity of free space.
Part B
What is the magnitude E1 of the electric field E at radius r=r= 12.6 cmcm , just outside the inner sphere?
E1=
Part C
E2=
What is the magnitude of E1 at r=r= 14.7 cmcm , just inside the outer sphere?
Homework Answers
Answer #1
N
Not the answer you're looking for?
Similar Questions
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 10.0 cm,
and the outer sphere has radius 15.0 cm. A potential difference of
130.0 V is applied to the capacitor.
Part A
What is the energy density at rr= 10.1 cm, just outside
the inner sphere?
Express your answer in joules per meter cubed.
Part B
What is the energy density at rr = 14.9 cm, just inside
the outer sphere?...
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 11.0 cm ,
and the outer sphere has radius 15.5 cm cm . A potential difference
of 110 V is applied to the capacitor.
1-What is the energy density at r= 11.1 cm , just outside the
inner sphere?
2-What is the energy density at r = 15.4 cm , just
inside the outer sphere?
3-For a parallel-plate capacitor the energy density...
1a) If a capacitor were made from two coaxial, concentric spheres with the inner sphere having...
1a) If a capacitor were made from two coaxial, concentric
spheres with the inner sphere having a radius of r, and the outer
sphere having a radius of 1.5r, what would be the capacitance of
this setup? Remember, capacitance is defined as C = Q/V . You may
use r=1.5cm
1b) What would your answer to the previous question be if the
space between the spheres were filled with styrofoam, κ = 4 ?
The space between two concentric conducting spherical shells of radii b = 1.70 cm and a...
The space between two concentric conducting spherical shells of
radii b = 1.70 cm and a = 1.00 cm is filled with
a substance of dielectric constant κ = 15.1. A potential difference
V = 65.0 V is applied across the inner and outer shells.
Determine (a) the capacitance of the device,
(b) the free charge q on the inner shell,
and (c) the charge q induced along the
surface of the inner shell.
Consider two neutral, hollow conducting spherical shells. The inner shell will be denoted by S1 and...
Consider two neutral, hollow conducting spherical shells. The
inner shell will be denoted by S1 and the outer shell
will be denoted by S2. The inner radius of S1
is r1. The outer radius of S1 is
r2. The inner radius of S2 is r3
and the outer radius of S2 is r4.
S1 and S2 are concentric with S1
contained within S2. S1 has a total charge of
Q1 and S2 has a total charge of
Q2. Find:
a)...
A spherical capacitor is composed of two thin, concentric conducting shells of radii R1 = 4.0cm...
A spherical capacitor is composed of two thin, concentric
conducting shells of radii R1 = 4.0cm and R2 = 8.0cm. The plates
are connected to a 12.0 V battery and are fully charged.
a. Derive the equation for the capacitance and use it to determine
the capacitance.
b. Determine the total charge on the capacitor.
c. The space between the plates is now filled with neoprene,
increasing the total charge to 7.1E-10 C. What is the dielectric
constant of neoprene?...
A spherical capacitor is constructed using a solid sphere of radius a as the inner conductor...
A spherical capacitor is constructed using a solid sphere of
radius a as the inner conductor and a thin spherical shell
of radius c as the outer conductor. The region in between
is partially filled, with a dielectric (constant k) filling the
space from b < r < c. Use the
method outlined in the book and in class to find an expression for
the capacitance of this capacitor. Use careful sketches and
explain each step of your work.
a) By using Gauss’s law, find the electric field inside, outside and inbetween two concentric spherical...
a) By using Gauss’s law, find the electric field inside, outside
and inbetween two concentric spherical metal shells, assuming that
the inner shell, of radius a, carries a charge of -Q and the outer
shell, of radius b, carries a charge of Q.
b) By making use of the result in part (a), find the energy
stored in the system made of two concentric spherical metal
shells.
c) By using the result in part (a) find the electric potential
difference...
A small conducting spherical shell with inner radius a and outer radius b is concentric with...
A small conducting spherical shell with inner radius
a and outer radius b is
concentric with a larger conducting spherical shell with inner
radius c and outer radius d. The
inner shell has a total charge of -1q and the
outer shell has a total charge of +3q.
Select True or False for the following statements.
True False The radial component of the electric field in the region
r > dis given by
+2q/(4πε0r2).
True False The total charge on...
Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical...
Flux and
nonconducting shells. A charged particle is suspended at the
center of two concentric spherical shells that are very thin and
made of nonconducting material. Figure (a) shows a cross
section. Figure (b) gives the net flux ? through a
Gaussian sphere centered on the particle, as a function of the
radius r of the sphere. The scale of the vertical axis is
set by ?s = 19.0
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 12 minutes ago
asked 21 minutes ago
asked 27 minutes ago
asked 40 minutes ago
asked 41 minutes ago
asked 43 minutes ago
asked 55 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago