Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

please answer q4 and q5 thank you Two simple charge configurations encountered a lot in electrostatics are the electric dipole and the uniform line charge.

please answer q4 and q5 thank you

image text in transcribed
Two simple charge configurations encountered a lot in electrostatics are the electric dipole and the uniform line charge. Our goal in this exercise is to derive an expression for the electric potential for these configurations, starting with an expression for the electric potential of a point charge. Recall that the electric potential at an arbitrary point P = (x,y,z) from a point charge q located at the origin is given by V(x,'y,z) = M 'sz+y2+zz i. Suppose we shift the charge by a distance +a along the y-axis, so that it is now located at the point (0,11. 0). Modify the expression for V at point P = (x,y,z). ii. To create an electric dipole, well now add a second opposite charge iq at the position (0, a, 0). Again, find the electric potential V at point P. Determine where V = 0. Describe this region and sketch it on the diagram. Ifyou found the region without explicitly solving for V = 0, justify your approach. iii. Now let's work on the infinite line charge. We can start by treating it as an infinite string of identical point charges along the y-axis, spaced by a distance :1. Write an expression for l/ at point P = (x,y.z) for this configuration. iv. Finally, consider an infinite line ofcharge with charge density J. [what are the units of 1?). Again, write an expression for V at point P = (x,y,z). Since this configuration is really a limiting case of part {iii}, your expression should look similar. How is A related to q and a in part {iii}? v. 0n the diagram for part (iv), sketch an equipotential surface (a region of where the electric potential is constant]

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Elementary Solid State Physics

Authors: Charles Kittel

1st Edition

0471490202, 978-0471490203

More Books

Students also viewed these Physics questions

Question

The quality of the proposed ideas

Answered: 1 week ago

Question

The number of new ideas that emerge

Answered: 1 week ago