Home
Class 12
PHYSICS
Two infinite planes each with uniform su...

Two infinite planes each with uniform surface charge density `+sigma` are kept in such a way that the angle between them is 60°. The electric field in the region shown between them is given by

A

`(sigma)/(4epsilon_(0))(hati-sqrt3hati)`

B

`(sigma)/(32epsilon_0)[(1+sqrt3)hatj-hati/2]`

C

`(sigma)/(12epsilon_0)[(1+sqrt3)hatj+hati/2]`

D

`(sigma)/(22epsilon_0)[(1-(sqrt3)/2)hatj-hati/2]`

Text Solution

Verified by Experts

The correct Answer is:
A
`vecE=-(sigma)/(2epsi_(0))cos30^(@)hati+[(sigma)/(2epsi_(0))-(sigma)/(2epsi_(0))sin30^(@)]hatj`
`vecE=(-sigma)/(2epsi_(0)).(sqrt3)/(2)hati+[(sigma)/(2epsi_(0))-(sigma)/(4epsi_(0))]hatj`
`vecE=(-sqrt3sigma)/(4epsi_(0))hati+(sigma)/(4epsi_(0))hatj`
`vecE=(sigma)/(4epsi_(0))hatj-(sqrt3sigma)/(4epsi_(0))hati" "," "vecE=(sigma)/(4epsi_(0))[hatj-sqrt3hati]`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two infinite non-conducting sheets each with uniform surface charge density sigma are kept in such a way that the angle between them is 30^(@). The electric field in the region I shown between them is

Three infinite planes each with uniform surface charge density + sigma are kept in such a way that the angle between any two plate is 60^(@) . The electric field at centre of triangle

Two infinite line charges with uniform linear charge densities + lamda & - lamda are kept in such a way that the angle between them is 30^(@). The electric field at the symmetric point P at a perpendicular distance r from each line charge is given by:

Two thin infinite parallel plates have uniform charge densities + sigma and - sigma . The electric field in the space between them is

There are two infinite plane sheets each having uniform surface charge density +sigma C//m ^(2) They are inclined to each other at an angle 30^(@ ) as shown in the figure. Electric field at any arbitrary point P is:

The electric field inside a spherical shell of uniform surface charge density is

Two parallel plates are of potential -20V and +40V .If the separation between them is 4cm .The electric field between them is?

Two thin infinite sheets have uniform surface densities of charge +sigma and - sigma . Electric field in the space between the two sheets is