Home
Class 12
PHYSICS
Two infinite line charges with uniform l...

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:

A

`(lamda)/(2pi in_(0)r) ((1- sqrt3) hat(y) -(hat(x))/(2))`

B

`(lamda)/(2pi in_(0)r) ((1 + sqrt3) hat(y) + (hat(x))/(2))`

C

`(lamda)/(2pi in_(0)r) ((1-(sqrt3)/(2))hat(y) - (hat(x))/(2))`

D

`(lamda)/(2pi in_(0)r )((1 + (sqrt3)/(2)) hat(y) + (hat(x))/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
`vec(E )= (lamda)/(2pi in_(0)r) cos 60^(@) hat(x) + ((lamda)/(2pi in_(0)r) + (lamda)/(2pi in_(0)r) sin 60^(@))hat(y)`
`=(lamda)/(2pi in_(0)r) [(1 + (sqrt3)/(2)) hat(y) + (1)/(2) hat(x)]`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 11

    VMC MODULES ENGLISH|Exercise Physics (Section-2)|5 Videos

  • MOCK TEST 10

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

  • MOCK TEST 12

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

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

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 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

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

Two parallel infinite line charges with linear charge densities +lambda C//m and -lambda C/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges?

Two parallel infinite line charges with linear charge densities +lambda C//m and -lambda C/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges?

Intensity of electric field at a point at a perpendicular distance .r. from an infinite line charge, having linear charge density .lambda. is given by :

A circular ring of radius R and uniform linear charge density +lamdaC//m are kept in x - y plane with its centre at the origin. The electric field at a point (0,0,R/sqrt(2)) is

Two infinitely long thin straight wires having uniform linear charge densities lambda and 2lambda are arranged parallel to each other at a distance r apart.The intensity of the electric field at a point midway between them is

Consider an infinite line charge having uniform linear charge density and passing through the axis of a cylinder is removed.