Four identical positive point charge q are placed at the corner of a square plate of side ‘d’. Another point fixed charge q is placed at a distance ‘d/2’ from the centre of square as shown. Choose the correct options.
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
Electrostatic potential energy of the system is 2kq2d1+22+423
b
Flux through the square plate is q2ε0
c
Flux through the square plate is q6ε0
d
Work done in moving a charge q0 from infinity to the centre of the square plate with charges q each at the vertices is 2(22+1)kqq0d
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Usys=4kq2d+2kq22d+8kq23d=2kq2d22+1+423Potential at the centreVf=42kqd+2kqdWork done = q0Vf−Vi=222+1kqq0dThe flux of charge at corners of square is zero.Imagine a cube of side d , with q at its center.ϕcube=qε0⇒ϕface=q6ε0