A uniform surface charge of density σ is given to a quarter of a disc extending upto infinity in the first quadrant of x - y plane. The center of the disc is at the origin O. Find the z - component of the electric field at the point (0, 0, z) and the potential difference between the points (0, 0, d) & (0, 0, 2d).
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
, 
⏐ d ⏐
Sol. In the remaining three quadrants, put three more quarter sheets to convert this given arrangement to that of infinite sheet. Now contribution from all the four quarters to the z - component will be same. Hence due to a quarter component of E.F. along z axis at point (0 , 0 , z) will be ,
= 
= 
Hence potential difference between points (0 , 0 , d) and (0 , 0 , 2d) will be ,
V 2d - V d = - 
. 
; where 
= d z 
; 
= 
= 
V 2d - V d = - 
. dz 
= - 
; V d - V 2d = 
⏐ d ⏐
, 
⏐ d ⏐
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems