×
Get Full Access to Introduction To Electrodynamics - 4 Edition - Chapter 4 - Problem 3p
Get Full Access to Introduction To Electrodynamics - 4 Edition - Chapter 4 - Problem 3p

×

# According to Eq. 4.1, the induced dipole moment of an atom ISBN: 9780321856562 45

## Solution for problem 3P Chapter 4

Introduction to Electrodynamics | 4th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Introduction to Electrodynamics | 4th Edition

4 5 1 355 Reviews
20
4
Problem 3P

Problem 3P

According to Eq. 4.1, the induced dipole moment of an atom is proportional to the external field. This is a “rule of thumb,” not a fundamental law, and it is easy to concoct exceptions—in theory. Suppose, for example, the charge density of the electron cloud were proportional to the distance from the center, out to a radius R. To what power of E would p be proportional in that case? Find the condition on ρ(r ) such that Eq. 4.1 will hold in the weak-field limit.

Reference equation 4.1

p = αE.

Step-by-Step Solution:

Solution 3P

Step 1:

We need to find out the relation between electric field and the induced dipole.

From gauss law, the is electric field, The enclosed charge, is, And the charge density is,  is the area   Comparing this equation with equation ,   Step 2 of 3

Step 3 of 3

##### ISBN: 9780321856562

Unlock Textbook Solution