A conducting sphere of radius 10 , cm has an | vedclass

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

Question

(C) The electric field $E$ at a distance $r$ from the center of a conducting sphere (where $r > R$) is given by the formula $E = \frac{kq}{r^2}$,where

Vedclass · Accepted Answer

$ - 5.3 	imes 10^{-9} \, C$

Vedclass · Answer

(C) The electric field $E$ at a distance $r$ from the center of a conducting sphere (where $r > R$) is given by the formula $E = \frac{kq}{r^2}$,where $k = \frac{1}{4 \pi \varepsilon_0} = 9 	imes 10^9 \, N \cdot m^2 \cdot C^{-2}$.Given: $r = 20 \, cm = 0.2 \, m$.The electric field points radially inwards,which implies the charge $q$ is negative. Thus,$E = -1.2 	imes 10^3 \, N \cdot C^{-1}$.Rearranging the formula for $q$: $q = \frac{E \cdot r^2}{k}$.Substituting the values: $q = \frac{(-1.2 	imes 10^3) 	imes (0.2)^2}{9 	imes 10^9}$.$q = \frac{-1.2 	imes 10^3 	imes 0.04}{9 	imes 10^9} = \frac{-0.048 	imes 10^3}{9 	imes 10^9} = -0.00533 	imes 10^{-6} \, C$.$q \approx -5.3 	imes 10^{-9} \, C$.

$A$ conducting sphere of radius $10 \, cm$ has an unknown charge. If the electric field at a distance $20 \, cm$ from the centre of the sphere is $1.2 \times 10^3 \, N \, C^{-1}$ and points radially inwards,the net charge on the sphere is:

Similar Questions

$A$ cube of side $L$ has point charges $+q$ located at its seven vertices and $-q$ at remaining one vertex. The electric field at its centre is found to be $|E|=\alpha\left(\frac{q}{4 \pi \varepsilon_0 L^2}\right)$. The magnitude of constant $\alpha$ is

Two charges $q$ and $3q$ are separated by a distance $r$ in air. At a distance $x$ from charge $q$,the resultant electric field is zero. The value of $x$ is:

$A$ cube of side $a$ has point charges $+Q$ located at each of its vertices except at the origin where the charge is $-Q$. The electric field at the centre of the cube is

$A$ uniformly charged sphere has a total charge $Q$ and radius $R$. The electric field $E$ is a function of the distance $r$ from the center. Which of the following graphs represents this relationship?

How does the number of electric field lines passing through a unit area depend on the distance from a point charge?

Vedclass Test Series

Exam Paper Generator

Online Exam Module