Home
Class 12
PHYSICS
Four particles each having a charge q ar...

Four particles each having a charge q are placed on the four vertices of a regular pentagon. The distance of each comer from !be centre is 'a'. Find the electric field at the centre of pentagon.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
In case of five charges at five vertices of regular pentagon net electric field at centre is zero. Because five vectors of equal magnitudes from a closed regular pentagon as shown in figure

where one charge is removed. Then one vector (let `AB`) is deceased hence the net resultant is equal to magnitude of one vector
`=|BA|=1/(4piepsilon_0) q/a^2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROSTATICS

    DC PANDEY|Exercise Exercise 24.5|3 Videos

  • ELECTROSTATICS

    DC PANDEY|Exercise Exercise 24.6|2 Videos

  • ELECTROSTATICS

    DC PANDEY|Exercise Exercise 24.3|5 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITORS

    DC PANDEY|Exercise (C) Chapter exercises|50 Videos

  • GRAVITATION

    DC PANDEY|Exercise All Questions|120 Videos

Similar Questions

Explore conceptually related problems

Prove that any four vertices of a regular pentagon are concyclic.

Four particles each of mass 'm' are placed at the four vertices of a square 'a' .Find net force on any one the particle.

Knowledge Check

  • Find each interior of a regular pentagon.

    A
    `108^(@)`
    B
    `105^(@)`
    C
    `103^(@)`
    D
    `101^(@)`

  • Five point charges, +q each are placed at the five vertices of a regular hexagon. The distance of the center of the hexagon from any fo the vertices is a. the electric field at the center of the hexagon is

    A
    `(q)/(4 pi epsilon_(0)a^(2))`
    B
    `(q)/(8 pi epsilon_(0)a^(2))`
    C
    `(q)/(16 pi epsilon_(0)a^(2))`
    D
    zero

  • Five point charge ( +q each) are placed at the five vertices of a regular hexagon of side 2a .what is the magnitude of the net electric field at the centre of the hexazon?

    A
    `1/(4piepsilon_0)q/a^2`
    B
    `q/(16 piepsilon_0a^2)`
    C
    `(sqrt2q)/(4piepsilon_0a^2)`
    D
    `(5q)/(16piepsilon_0a^2)`

    • Similar Questions

    Explore conceptually related problems

    Six point charges are arrange at the vertices of a regular hexagon of side length a (shown in figure). Find the magnitude of electric field at the centre of regular hexagon.

    Five charges, q each are placed at the corners of a regular pentagon of side a. (Refer the adjoining figure) (a) (i) What will be the electric field at O, if the centre of the pentagon? (ii) What will be the electric field at O if the charge from one of the corners (say A) is removed? (iii) What will be the electric field at O if the charge q at A is replaced by -q? (b) How would your answer to (a) be affected if pentagon is replaced by n-sided regular polygon with charge q at each of its corners?

    Four identical point charges, each of charge q, are placed on the vertices of a regular hexagon of side a such that the net electric field at centre of hexagon is zero. If one of the charge is now removed, then the electric field at centre of hexagon is k- 4.60

    Six negative equal charge are placed at the vertical of a regular hexagon . 6q charge is placed at the centre of the hexagon . Find the electric dipole moment of the system.

    Four point masses each of mass m are placed on vertices of a regular tetrahedron. Distance between any two masses is r .

    Home
    Profile