Home
Class 12
PHYSICS
In a regular polygon of n sides, each co...

In a regular polygon of `n` sides, each corner is at a distance `r` from the centre. Identical charges each of magnitude `q` are placed at corners. The field at the centre is

A

0

B

`((n-1)kQ)/(r^(2))`

C

`(m)/(n-1)k(Q)/(r^(2))`

D

`(n-1)/(n)k(Q)/(r^(2))` where, `k=1//4 pi epsilon_(0)`

Text Solution

AI Generated Solution

To find the electric field at the center of a regular polygon with \( n \) sides, where identical charges \( q \) are placed at each corner, we can follow these steps: ### Step 1: Understand the Configuration In a regular polygon with \( n \) sides, the charges are symmetrically placed at each vertex. Each charge \( q \) is at a distance \( r \) from the center of the polygon. ### Step 2: Calculate the Electric Field Due to One Charge The electric field \( E_0 \) due to a single charge \( q \) at a distance \( r \) from the charge is given by the formula: \[ ...
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

In a regular hexagon each corner is at a distance .r. from the centre. Identical charges of magnitude .Q. are placed at 5 corners. The field at the centre is (K = (1)/(4pi in_(0)))

In a regular polygon of n sides, each corner is at a distance r from the centre. Identical charges are placed at (n-1) corners. At the centre, the intensity is E and the potential is V . The ratio V//E has magnitude

Knowledge Check

  • In a regular polygon of n sides, each corner is at a distance r from the centre. Identical charges are placed at (n-1) corners. At the centre, the intensity is E and the potential is V . The ratio V//E has magnitude

    A
    rn
    B
    `r(n-1)`
    C
    `(n-1)//r`
    D
    `r(n-1)//n`

    • Similar Questions

    Explore conceptually related problems

    ABC is an equilateral triangle. Three identical charges each +q are placed at each corner. Electric intensity at the centroid of triangle is

    If a regular polygon of n sides has circum radius R and inradius r then each side of polygon is:

    ABC is an equilateral triangle. Charges +q are placed at each corner. The electric field intensity at the centroid of triangle will be

    A sphere of radius R carries charge such that its volume charge density is proportional to the square of the distance from the centre. What is the ratio of the magnitude of the electric field at a distance 2 R from the centre to the magnitude of the electric field at a distance of R//2 from the centre?

    The magnitude of electric intensity at a distance x from a charge q is E .An identical charge is placed at a distance 2x from it Then the magnitude of the force it experience is ..

    Five equal charges each of value q are placed at the corners of a regular pentagon of side a. The electric field at the centre of the pentagon is

    A charge Q is placed at each corner of a cube of side a. The potential at the centre of the cube is

    Home
    Profile