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)/(2 pi in_(r))((1- sqrt3) haty - (x)/(2))`

B

`(lamda)/(2 pi uin _(0) r)(( 1+ sqrt3) haty + (hatx )/(2))`

C

`(lamda)/(2 pi in _(0) r)((1 - (sqrt3)/(2))haty - (hatx )/(2))`

D

`(lamda)/(2 pi in _(0) r)((1 +(sqrt3)/(2))haty - (hatx )/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
`vecE= (lamda)/(2piin _(0) r) cos 60^(@) hatx + ((lamda)/(2pi in _(0)r)+ (lamda)/(2 pi in _(0) r ) sin 60^(@))haty7 `
`= (lamda)/(2 pi in _(0) r)[(1+ (sqrt3)/(2)) haty + 1/2 hatx]`
Promotional Banner

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

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 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

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 infinitely long thin styraight 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

Two long wires having linear charge density lamda and - lamda are placed parallel to each other at separation ras shown in the figure. The electric field at point P will be

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

(i) Two infinitely long line charges each of linear charge density lambda are placed at an angle theta as shown in figure. Find out electric field intensity at a point P, which is at a distance x from point O along angle bisector of line charges. (ii) Repeat the above question if the line charge densities are lambda and -lambda . as shown in figure.