1 / 13

Electric Fields II

Electric Fields II. Definition:. Electric Fields. Electric fields are produced by point charges and continuous charge distributions. is force exerted on charge by an external field. Note: q produces a field but it is not external. dq. +. +. +. +. +. +. +. +. +. dE. +. +.

emma
Download Presentation

Electric Fields II

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Electric Fields II

  2. Definition: Electric Fields Electric fields are produced by point charges and continuous charge distributions is force exerted on charge by an external field Note: q produces a field but it is not external

  3. dq + + + + + + + + + dE + + + Source Continuous Charge Distributions E = ? • Cut source into small (“infinitesimal”) charges dq • Each produces or

  4. Steps: • Draw a coordinate system on the diagram • Choose an integration variable (e.g.,x) • Draw an infinitesimal element dx • Write r and any other variables in terms of x • Write dq in terms of dx • Put limits on the integral • Do the integral or look it up in tables.

  5. L d Example: Uniformly-Charged Thin Rod (length L, total charge Q) + + + + + + + + + Charge/Length = “Linear Charge Density” = constant = Q/L

  6. Solution:

  7. In 2D problems, integrate components separatelyto obtain the electric field: { x-component of

  8. Example: Uniformly-Charged Ring y R x (x,0) Total charge Q, uniform charge/unit length, radius R Find: E at any point (x, 0)

  9. Solution:

  10. y + + + + R x Quiz O Given the semi-circular uniform charge distribution, what would the direction of the electric field be at the origin, O?A) upB) downC) leftD) right

  11. y R x Example: Uniformly-Charged Semicircle + + + + Charge/unit length, , is uniform Find: at origin

  12. Solution:

  13. Summary • Field of several point charges qi: • Field of continuous charge distribution:

More Related