Simple Nature - Light and Matter

g/The gravitational field sur- rounding a clump of mass such as the earth. h/The gravitational fields of the earth and moon supe ...

Reduction in gravity on Io due to Jupiter’s gravity example 2 .The average gravitational field on Jupiter’s moon Io is 1.81 N/kg ...

ing on the surface of a pond. Although we have started with the gravitational field as the simplest example of a static field, s ...

j/Example 3. k/A dipole field. Electric fields diverge from a positive charge and converge on a negative charge. l/A water molec ...

m/1. A uniform electric field created by some charges “off-stage.” A dipole is placed in the field. 3. The dipole aligns with t ...

n/Example 5. whereriis the position vector of the charge labeled by the index i. We can then write the torque in terms of a vect ...

In a symmetric molecule such as carbon disulfide, figure o/1, the dipole moment vanishes by symmetry. For if we rotate the molec ...

Alternative definition of the electric field The behavior of a dipole in an externally created field leads us to an alternative ...

p/An electric dipole spec- trometer. A beam of randomly oriented dipoles is shot through a “croquet hoop” consisting of two fixe ...

q/Discussion question H. Discussion Questions A In the definition of the electric field, does the test charge need to be 1 coulo ...

The interpretation is that a strong electric field occurs in a region of space where the potential is rapidly changing. By analo ...

Potential associated with a point charge example 10 .What is the potential associated with a point charge? .As derived previousl ...

a/A topographical map of Shelburne Falls, Mass.(USGS) b/The constant-potential curves surrounding a point charge. Near the charg ...

perpendicular to the constant-potential curves. The one-dimensional relationshipE=−dV/dxgeneralizes to three dimensions as follo ...

a/Example 12. c/Two-dimensional field and po- tential patterns. Top: A uniformly charged rod. Bottom: A dipole. In each case, th ...

b/Example 13. along the rod’s axis. .This is a one-dimensional situation, so we really only need to do a single integral represe ...

brute-force approach, then, would be to evaluate the integral∫ E= |dE|cosθ, where dEis the contribution to the field from a char ...

c/Example 14. For large values ofR, the square root approaches one, and we have simplyER≈ kλL/R^2 = k Q/R^2. In other words, the ...

d/Example 15: geometry. e/Example 15: the field on both sides (forσ>0). f/A capacitor consisting of two disks with opposite c ...

The total field is Ez= ∫ dEz = 2πσk z ∫b 0 rdr ( r^2 +z^2 )3/2 = 2πσk z − 1 √ r^2 +z^2 ∣∣ ∣∣ r=b r=0 = 2πσk ( 1 − z √ b^2 +z^2 ) ...