Download

-Electric Potential due to Continuous Charge Distributions






Advertisement
/ 16 []
Download Presentation
Comments
saman
From:
|  
(1121) |   (0) |   (0)
Views: 101 | Added:
Rate Presentation: 0 0
Description:
-Electric Potential due to Continuous Charge Distributions. AP Physics C Mrs. Coyle. Electric Potential –What we used so far!. Electric Potential Potential Difference Potential for a point charge Potential for multiple point charges. Remember:. V is a scalar quantity
-Electric Potential due to Continuous Charge Distributions

An Image/Link below is provided (as is) to

Download Policy: Content on the Website is provided to you AS IS for your information and personal use only and may not be sold or licensed nor shared on other sites. SlideServe reserves the right to change this policy at anytime. While downloading, If for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.











- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -




Electric potential due to continuous charge distributions l.jpgSlide 1

-Electric Potential due to Continuous Charge Distributions

AP Physics C

Mrs. Coyle

Electric potential what we used so far l.jpgSlide 2

Electric Potential –What we used so far!

  • Electric Potential

  • Potential Difference

  • Potential for a point charge

  • Potential for multiple point charges

Remember l.jpgSlide 3

Remember:

  • V is a scalar quantity

  • Keep the signs of the charges in the equations, so V is positive for positive charges.

  • You need a reference V because it is changes in electric potential that are significant. When dealing with point charges and charge distributions the reference is V=0 when r

Electric potential due to a continuous charge distribution l.jpgSlide 4

Electric Potential Due to a Continuous Charge Distribution

How would you calculate the V at point P?

Two ways to calculate electric potential due to a continuous charge distribution l.jpgSlide 5

Two Ways to Calculate Electric Potential Due to a Continuous Charge Distribution

  • It can be calculated in two ways:

    • Method 1: Divide the surface into infinitesimal elements dq

    • Method 2:If E is known (from Gauss’s Law)

Method 1 l.jpgSlide 6

Method 1

  • Consider an infinitesimal charge element dq and treat it as a point charge

  • The potential at point P due to dq

Method 1 cont d l.jpgSlide 7

Method 1 Cont’d

  • For the total potential, integrate to include the contributions from all the dq elements

  • Note: reference of V = 0 is when P is an infinite distance from the charge distribution.

Ex 25 5 a v at a point on the perpendicular central axis of a uniformly charged ring l.jpgSlide 8

Ex 25.5 : a) V at a point on the perpendicular central axis of a Uniformly Charged Ring

Assume that the total

charge of the ring is Q.

Show that:

Ex 25 5 b find the expression for the magnitude of the electric field at p l.jpgSlide 9

Ex 25.5: b) Find the expression for the magnitude of the electric field at P

  • Start with

    and

Slide10 l.jpgSlide 10

Ex 25.6: Find a)V and b) E at a point along the central perpendicular axis of a Uniformly Charged Disk

  • Assume radius a and surface charge density of σ. Assume that a disk is a series of many rings with width dr.

Slide11 l.jpgSlide 11

Ex 25.6: Find a)V and b) E at a point along the central perpendicular axis of a Uniformly Charged Disk

Ex25 7 find v at a point p a distance a from a finite line of charge l.jpgSlide 12

Ex25.7: Find V at a point P a distance a from a Finite Line of Charge

  • Assume the total charge of the rod is Q, length l and a linear charge density of λ.

  • Hint:

Method 2 for calculating v for a continuous charge distribution l.jpgSlide 13

Method 2 for Calculating V for a Continuous Charge Distribution:

  • If E is known (from Gauss’s Law)

  • Then use:

Ex 25 8 find v for a uniformly charged sphere hint use gauss s law to find e l.jpgSlide 14

Ex 25.8: Find V for a Uniformly Charged Sphere (Hint: Use Gauss’s Law to find E)

  • Assume a solid insulating sphere of radius R and total charge Q

  • For r > R,

Ex 25 8 find v for a uniformly charged sphere l.jpgSlide 15

Ex 25.8: Find V for a Uniformly Charged Sphere

  • A solid sphere of radius R and total charge Q

  • For r < R,

Ex 25 8 v for a uniformly charged sphere graph l.jpgSlide 16

Ex 25.8:V for a Uniformly Charged Sphere, Graph

  • The curve for inside the sphere is parabolic

  • The curve for outside the sphereis a hyperbola


Copyright © 2014 SlideServe. All rights reserved | Powered By DigitalOfficePro