Consider the configuration shown in the figure: An in-finite plane conductor has a small hemispherical knob ofradius a as indicated. A point charge q is placed directly tothe right hand side of the hemispherical knob at a distanceb from its center. Assume that the boundary, i.e. the in-finite plane with the knob, is kept at zero potential. Findthe potential V at a generic point P on the right hand side. P(r)b

Question
Asked Oct 29, 2019
76 views
Consider the configuration shown in the figure: An in-
finite plane conductor has a small hemispherical knob of
radius a as indicated. A point charge q is placed directly to
the right hand side of the hemispherical knob at a distance
b from its center. Assume that the boundary, i.e. the in-
finite plane with the knob, is kept at zero potential. Find
the potential V at a generic point P on the right hand side.
help_outline

Image Transcriptionclose

Consider the configuration shown in the figure: An in- finite plane conductor has a small hemispherical knob of radius a as indicated. A point charge q is placed directly to the right hand side of the hemispherical knob at a distance b from its center. Assume that the boundary, i.e. the in- finite plane with the knob, is kept at zero potential. Find the potential V at a generic point P on the right hand side.

fullscreen
P(r)
b
help_outline

Image Transcriptionclose

P(r) b

fullscreen
check_circle

Expert Answer

Step 1

The image for the configuration is shown below

Ь
help_outline

Image Transcriptionclose

Ь

fullscreen
Step 2

Using the method of images, the image charge q’ corresponding to the hemispherical bulge is calculated as,

aq
-аg
q'=
b
help_outline

Image Transcriptionclose

aq -аg q'= b

fullscreen
Step 3

This charge will reside on the line joining the centre of the hemispherical bulge and the charge...

a2
b
help_outline

Image Transcriptionclose

a2 b

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Advanced Physics

Related Advanced Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add