Four identical charges +50,mu C each are plac | vedclass

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

Question

(A) The side of the square is $a = 2\,m$. The distance from any corner to the centre of the square is $r = \frac{a}{\sqrt{2}} = \frac{2}{\sqrt{2}} = \

Vedclass · Accepted Answer

$64$

Vedclass · Answer

(A) The side of the square is $a = 2\,m$. The distance from any corner to the centre of the square is $r = \frac{a}{\sqrt{2}} = \frac{2}{\sqrt{2}} = \sqrt{2}\,m$.Potential at the centre due to one charge $q = 50\,\mu C$ is $V_1 = \frac{1}{4\pi\varepsilon_0} \frac{q}{r} = 9 	imes 10^9 	imes \frac{50 	imes 10^{-6}}{\sqrt{2}} = \frac{45 	imes 10^4}{\sqrt{2}}\,V$.Since there are four identical charges at the corners,the total potential at the centre is $V = 4 	imes V_1 = 4 	imes \frac{45 	imes 10^4}{\sqrt{2}} = 180 	imes 10^4 	imes \frac{1}{\sqrt{2}} = 90\sqrt{2} 	imes 10^4\,V$.The work done $W$ to bring a charge $q' = 50\,\mu C$ from infinity to the centre is $W = q'V$.$W = (50 	imes 10^{-6}) 	imes (90\sqrt{2} 	imes 10^4) = 4500\sqrt{2} 	imes 10^{-2} = 45\sqrt{2} \approx 45 	imes 1.414 = 63.63\,J \approx 64\,J$.

Four identical charges $+50\,\mu C$ each are placed,one at each corner of a square of side $2\,m$. How much external energy is required to bring another charge of $+50\,\mu C$ from infinity to the centre of the square? (Given $\frac{1}{4\pi\varepsilon_0} = 9 \times 10^9\,\frac{N\cdot m^2}{C^2}$)

Similar Questions

The electric potential at a point at a distance $x$ from the center inside a conducting sphere of radius $R$ charged with charge $Q$ is:

$A$ charge of total amount $Q$ is distributed over two concentric hollow spheres of radii $r$ and $R$ $(R > r)$ such that the surface charge densities on the two spheres are equal. The electric potential at the common centre is

In a certain charge distribution,all points having zero potential can be joined by a circle $S$. Points inside $S$ have positive potential and points outside $S$ have negative potential. $A$ positive charge,which is free to move,is placed inside $S$. What will happen to the charge?

Which of the following graphs correctly shows how the electrostatic potential $V$ varies with distance $r$ from a point charge?

Two spheres $A$ and $B$ of radius $a$ and $b$ respectively are at the same electric potential. The ratio of the surface charge densities of $A$ and $B$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module