4. An isolated spherical capacitor has charge +Q on its inner conductor (radius ra) and -Q charge on its outer conductor (radius rb ). Half of the volume between the two conductors is then filled with a liquid dielectric of constant K as shown in cross section in Fig. a) Find the capacitance of the half-filled capacitor. b) Find the magnitude of E in the volume between the two conductors as a function of the distance from the center of the capacitor. Give answers for both the upper and lower halves of this volume.
4. An isolated spherical capacitor has charge +Q on its inner conductor (radius ra) and -Q charge on its outer conductor (radius rb ). Half of the volume between the two conductors is then filled with a liquid dielectric of constant K as shown in cross section in Fig. a) Find the capacitance of the half-filled capacitor. b) Find the magnitude of E in the volume between the two conductors as a function of the distance from the center of the capacitor. Give answers for both the upper and lower halves of this volume.
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![c) Find the surface density of free charge on the upper and lower halves
of the inner and outer conductors.
d) Find the surface density of bound charge on the inner (r=ra)and
outer (r=rb)surfaces of the dielectric. (e) What is the surface density
of bound charge on the flat surface of the dielectric?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ef2bd39-f7b9-4aa9-b0cf-09bf2512a5a0%2Fefb57e07-02b1-4b85-97f5-0c88946e438c%2Ftobz3q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:c) Find the surface density of free charge on the upper and lower halves
of the inner and outer conductors.
d) Find the surface density of bound charge on the inner (r=ra)and
outer (r=rb)surfaces of the dielectric. (e) What is the surface density
of bound charge on the flat surface of the dielectric?
![4. An isolated spherical capacitor has charge +Q on its inner conductor (radius ra)
and -Q charge on its outer conductor (radius rb ). Half of the volume between the
two conductors is then filled with a liquid dielectric of constant K as shown in
cross section in Fig.
a) Find the capacitance of the half-filled capacitor.
b) Find the magnitude of E in the volume between the two conductors as
a function of the distance from the center of the capacitor. Give
answers for both the upper and lower halves of this volume.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ef2bd39-f7b9-4aa9-b0cf-09bf2512a5a0%2Fefb57e07-02b1-4b85-97f5-0c88946e438c%2Ftyvu8zh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. An isolated spherical capacitor has charge +Q on its inner conductor (radius ra)
and -Q charge on its outer conductor (radius rb ). Half of the volume between the
two conductors is then filled with a liquid dielectric of constant K as shown in
cross section in Fig.
a) Find the capacitance of the half-filled capacitor.
b) Find the magnitude of E in the volume between the two conductors as
a function of the distance from the center of the capacitor. Give
answers for both the upper and lower halves of this volume.
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