Saved Bookmarks
| 1. |
A chargo q is uniformly distributed on a ring-shaped conductor of radius a. Find the field potential in an arbitrary point on the conductor's axis a distance I away from the plane in which the conductor lies. Using the relation between the potential and the field intensity, find the field intensity at this point. |
|
Answer» Solution :To find the potential, DIVIDE the RING into small segments and add up the potentials of these segments. The field strength is `E=-(d varphi)/(dx)=-(Q)/(4pi epsi_(0))(d)/(dx) (x^(2)+a^(2))^(-1//2)` `=(1)/(2).(q)/(4pi epsi_(0))(z^(2)+a^(2))^(-1//2)*2x=(QZ)/(4pi epsi_(0) sqrt((x^(2)+a^(2))^(3)))` |
|