New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Electrostatics question

2023 · 13 Apr · Shift 1 · Q70

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Physics
Electrostatics
2023 · 13 Apr · Shift 1 · Q70

Electrostatics question

2023 · 13 Apr · Shift 1 · Q70

JEE MainPhysicsElectrostaticsNumerical+4 / −1

A thin infinite sheet charge and an infinite line charge of respective charge densities

+\sigma

and

+\lambda

are placed parallel at

5 \mathrm{~m}

distance from each other. Points 'P' and 'Q' are at

\frac{3}{\pi}

m and

\frac{4}{\pi}

m perpendicular distances from line charge towards sheet charge, respectively. '

\mathrm{E}_{\mathrm{P}}

' and '

\mathrm{E}_{\mathrm{Q}}

' are the magnitudes of resultant electric field intensities at point 'P' and 'Q', respectively. If

\frac{E_{p}}{E_{0}}=\frac{4}{a}

for

2|\sigma|=|\lambda|

, then the value of

a

is

\underline{\hspace{2cm}}

.

Numerical answer

More from Electrostatics

A $10 μ C$ charge is divided into two parts and placed at $1 cm$ distance so that the repulsive force between them is maximum. The charges of the two parts are:2023 · MCQ
Three point charges $2 q$ and $x = 0, x = \frac{3}{4} R$ are placed on $x$ -axis at a distance $x = 0, x = \frac{3}{4} R$ and $x = R$ respectively from origin as shown. If $q = 2 \times 1 0^{- 6} C$ and $R = 2 cm$ … Includes diagram2023 · Numerical
The electric field due to a short electric dipole at a large distance $(r)$ from center of dipole on the equatorial plane varies with distance as :2023 · MCQ
If two charges q $_{1}$ and q $_{2}$ are separated with distance 'd' and placed in a medium of dielectric constant K. What will be the equivalent distance between charges in air for the same electrostatic force?2023 · MCQ
A stream of a positively charged particles having $\frac{q}{m} = 2 \times 1 0^{11} \frac{C}{k g}$ and velocity $v_{0} = 3 \times 1 0^{7} i m / s$ is deflected by an electric field $1.8 j$ kV/m. The…2023 · Numerical
The electric potential at the centre of two concentric half rings of radii R $_{1}$ and R $_{2}$ , having same linear charge density $λ$ is : Includes diagram2023 · MCQ
A uniform electric field of 10 N/C is created between two parallel charged plates (as shown in figure). An electron enters the field symmetrically between the plates with a kinetic energy 0.5 eV. The length of each plate is 10 cm. The… Includes diagram2023 · Numerical
A point charge of 10 $μ$ C is placed at the origin. At what location on the X-axis should a point charge of 40 $μ$ C be placed so that the net electric field is zero at $x = 2$ cm on the X-axis?2023 · MCQ