A thin disk of radius a carries a uniform surface charge density p [C/m²]. Find the energy required to move a negative point charge -q from a point very far from the disk (infinity) to a final position along its axis, a distance h from the center of the disk as shown. This can be done two ways using knowledge of the field and Y Z h--q a Pso
A thin disk of radius a carries a uniform surface charge density p [C/m²]. Find the energy required to move a negative point charge -q from a point very far from the disk (infinity) to a final position along its axis, a distance h from the center of the disk as shown. This can be done two ways using knowledge of the field and Y Z h--q a Pso
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![A thin disk of radius a carries a uniform surface charge
density po [C/m²]. Find the energy required to move a
negative point charge -q from a point very far from the
disk (infinity) to a final position along its axis, a
distance h from the center of the disk as shown. This
can be done two ways using knowledge of the field and
potential of a uniformly-charged disk, which is derived
in the lecture slides. What is the force on the charge in
its final resting position? What is the net force on
the disk?
X
h--q
a
-Pso
y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F099a9854-7cc3-46b9-a37c-ec0486b4a12a%2Fd1c820fd-8896-4853-8cd2-d6f68821d079%2Fuaj1kwr_processed.png&w=3840&q=75)
Transcribed Image Text:A thin disk of radius a carries a uniform surface charge
density po [C/m²]. Find the energy required to move a
negative point charge -q from a point very far from the
disk (infinity) to a final position along its axis, a
distance h from the center of the disk as shown. This
can be done two ways using knowledge of the field and
potential of a uniformly-charged disk, which is derived
in the lecture slides. What is the force on the charge in
its final resting position? What is the net force on
the disk?
X
h--q
a
-Pso
y
Expert Solution
Step 1
Solution:
Let P be the point at a distance h from the disc. The potential at point P due to a uniformly charged thin disc is given by,
The energy required to move a negative charge -q to the point P from infinity is given by,
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