Question
Asked Oct 14, 2019
6 views
Show by explicit direct substitution that if
P(F')
dr',
1
V (F)
4TEO
-
-p(F/Eo
then V satisfies the Poisson equation V2V(r)
help_outline

Image Transcriptionclose

Show by explicit direct substitution that if P(F') dr', 1 V (F) 4TEO - -p(F/Eo then V satisfies the Poisson equation V2V(r)

fullscreen
check_circle

Expert Answer

star
star
star
star
star
1 Rating
Step 1

Given,

help_outline

Image Transcriptionclose

p(r') уб)-— 1 4ле,

fullscreen
Step 2

Now, putting the given value of V(r) (Since, the del operator depends on r. Hence, ρ(r’) is independent of the del operator and we can write equation (1):

help_outline

Image Transcriptionclose

VVb- | ρ'), ,Δ- 1 4πε, dr -JPv F-FI 1 1 νiνG)- 4πε, .1)

fullscreen
Step 3

Now, using the r...

help_outline

Image Transcriptionclose

1 -478 (r-r

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.

Related Advanced Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Two speedboats are traveling at the same speed relative to the water in opposite directions in a mov...

A: Let’s assume the velocity be

question_answer

Q: What is a black hole?

A: It is a large amount of dense matter concentrated in a small region of space with incredibly intense...

question_answer

Q: What is the best example of differential calculus in physics?

A: One of the best example of differential calculus in Physics is the Schrodinger equation in quantum m...

question_answer

Q: A shopper pushes a grocery cart 22.0 m at constant speed on level ground, against a 31.0 N frictiona...

A: a)the work done by the fricional force is 

question_answer

Q: It's a quantum mechanics question.

A: The unit vector n and the spin vector S can be represented in the xz plane as,

question_answer

Q: Discuss the pros and cons of nuclear power. Why is the possibility of sustained nuclear fusion as a ...

A: Nuclear reactions that release their own energy to make heat. That heat is then usually used in stea...

question_answer

Q: Positive charge Q is distributed uniformly along the x-axis from x=0 to x=a. A positive point charge...

A: The charge Q is uniformly distributed along the axis x = 0 to x = a. The linear charge density of th...

question_answer

Q: (10%) Problem 4: A solid aluminum sphere of radius r! 0.038 m is charged with qi = +42 μC of electri...

A: Thank you for the question, since we are entitled to answer up to 3 sub-parts, we’ll answer the firs...

question_answer

Q: It's an electromagnetics problem.

A:  (a)Write the expression for the monopole moment