CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

State whether the given statement is True or False :
Three positive (red) and three negative (blue) point charges are arranged symmetrically around a circle centered on point P as shown in the diagram. All point charges are of the same magnitude.
Electric Field at P will be zero while electric potential at point P will be non zero.

493375_0e8da7954f5c4e53b0880a6b979a756f.jpg

A
True
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
False
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is B False
We know that electric field lines goes from positive charge to negative charge , as the total positive charge is upside of the circle and negative charge is downside of the circle therefore the direction of electric field will be downward while field lines are passing through point P .
Now let each charge has the magnitude q and r be the radius of circle ,
then electric field at P due to positive charges ,
E=k(q/r2+q/r2+q/r2)=3kq/r2 , (downward)
electric field at P due to negative charges ,
E′′=k(q/r2+q/r2+q/r2)=3kq/r2 , (downward)
net electric field at P ,
E=E+E′′=3kq/r2+3kq/r2=6kq/r2 (downward)
now total potential due to three positive charges at point P will be ,
V=k(q/r+q/r+q/r)=3kq/r ,
total potential due to three negative charges at point P will be ,
V′′=k((q/r)+(q/r)+(q/r))=3kq/r ,
therefore net potential at P ,
V=V+V′′=3kq/r3kq/r=0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Electric Potential Due to a Point Charge and System of Charges
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon