JEE Advanced 2015 Paper 1 Physics Q1

Physics · Electric Charges & Fields

Problem

An infinitely long uniform line charge distribution of charge per unit length

\lambda

lies parallel to the

y

-axis in the

y

z

plane at

z=\dfrac{\sqrt3}{2}a

(see figure). If the magnitude of the flux of the electric field through the rectangular surface

ABCD

lying in the

x

y

plane with its centre at the origin is

\dfrac{\lambda L}{n\varepsilon_0}

(

\varepsilon_0=

permittivity of free space), then the value of

n