Which of the following statements is NOT true | vedclass

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

Question

(A) For a charged conductor in electrostatic equilibrium, the electric field $E$ inside the conductor is zero.Since $E = -\frac{dV}{dr}$, if $E = 0$,

Vedclass · Accepted Answer

The electric field inside the sphere is not zero.

Vedclass · Answer

(A) For a charged conductor in electrostatic equilibrium, the electric field $E$ inside the conductor is zero.Since $E = -\frac{dV}{dr}$, if $E = 0$, then $\frac{dV}{dr} = 0$, which implies that the potential $V$ is constant throughout the interior of the conductor.According to Gauss's Law, $\oint E \cdot dA = \frac{q_{enclosed}}{\epsilon_0}$. Since $E = 0$ everywhere inside, the net charge enclosed $q_{enclosed}$ must be zero, meaning the volume charge density $\rho$ inside the conductor is zero.Therefore, the statement "The electric field inside the sphere is not zero" is incorrect.

Which of the following statements is $NOT$ true for a charged conducting sphere?

Similar Questions

$A$ point charge $q$ is placed in a cavity in a metal block. If a charge $Q$ is brought outside the metal,then the electric force experienced by $q$ is

The charges on two plates of a $10\,\mu F$ capacitor are $5\,\mu C$ and $15\,\mu C$. The potential difference across the capacitor plates is........$V$.

As shown in the figure,a point charge $Q$ is placed at the centre of a conducting spherical shell of inner radius $a$ and outer radius $b$. The electric field due to charge $Q$ in three different regions $I$,$II$,and $III$ is given by: $(I: r < a, II: a < r < b, III: r > b)$

$A$ charge $q$ is distributed uniformly on the surface of a sphere of radius $R$. It is covered by a concentric hollow conducting sphere of radius $2R$. What will be the charge on the outer surface of the hollow sphere if it is earthed?

$12 \mu C$ and $6 \mu C$ charges are given to two conducting plates having the same cross-sectional area and placed face to face close to each other as shown in the figure. The resulting charge distribution in $\mu C$ on surfaces $A, B, C$ and $D$ are respectively,

Vedclass Test Series

Exam Paper Generator

Online Exam Module