In a regular polygon of n sides, each corner | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

The electric potential is a scalar quantity. So the potential at the center is the sum of potential due to $(n-1) q$ number of charges.i.e, $V=k \frac

Vedclass · Accepted Answer

$r$ $(n - 1)$

Vedclass · Answer

The electric potential is a scalar quantity. So the potential at the center is the sum of potential due to $(n-1) q$ number of charges.i.e, $V=k \frac{(n-1) q}{r}$

The electric filed is a vector quantity. So the electric field cancel each other for the charges of opposite corner of polygon. Only charge $n q-(n-1) q=q$ will contribute

the electric field at the center of polygon. thus, $E=k \frac{q}{r^{2}}$

$	herefore \frac{V}{E}=k \frac{(n-1) q}{r} 	imes \frac{r^{2}}{k q}=r(n-1)$

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.

Similar Questions

Calculate potential on the axis of a ring due to charge $Q$ uniformly distributed along the ring of radius $R$.

Two metal spheres of radii ${R_1}$ and ${R_2}$ are charged to the same potential. The ratio of charges on the spheres is

Charges are placed on the vertices of a square as shown Let $\vec E$ be the electric field and $V$ the potential at the centre. If the charges on $A$ and $B$ are interchanged with those on $D$ and $C$ respectively, then

Prove that, if an insulated, uncharged conductor is placed near a charged conductor and no other conductors are present, the uncharged body must be intermediate in potential between that of the charged body and that of infinity.

The electric potential at the surface of an atomic nucleus $(Z = 50)$ of radius $9.0×{10^{ - 13}}\, cm$ is