An ellipsoidal cavity is carved within a perf | vedclass

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

Question

(D) Under electrostatic conditions,the entire volume of a conductor is an equipotential region. Since points $A$ and $B$ lie on the surface of the con

Vedclass · Accepted Answer

Both $(b)$ and $(c)$

Vedclass · Answer

(D) Under electrostatic conditions,the entire volume of a conductor is an equipotential region. Since points $A$ and $B$ lie on the surface of the conductor,they must be at the same potential. Thus,Potential at $A = $ Potential at $B$.According to Gauss's Law,the total electric flux $\phi$ through any closed surface enclosing a charge $q$ is given by $\phi = q/\varepsilon_0$. Since the cavity surface encloses the charge $q$,the total flux through it is $q/\varepsilon_0$.For an ellipsoidal cavity,the electric field near the surface depends on the local curvature,so the electric field at $A$ is not necessarily equal to the electric field at $B$. Therefore,options $(b)$ and $(c)$ are correct.

An ellipsoidal cavity is carved within a perfect conductor. $A$ positive charge $q$ is placed at the centre of the cavity. The points $A$ and $B$ are on the cavity surface as shown in the figure. Then

Similar Questions

Two charges,each equal to $q$,are kept at $x = -a$ and $x = a$ on the $x$-axis. $A$ particle of mass $m$ and charge $q_0 = \frac{q}{2}$ is placed at the origin. If charge $q_0$ is given a small displacement $(y << a)$ along the $y$-axis,the net force acting on the particle is proportional to

Two free point charges $+q$ and $+4q$ are a distance $R$ apart. $A$ third charge is so placed that the entire system is in equilibrium. Then the third charge is :-

Assertion: Consider two identical charges placed at a distance $2d$ apart along the $x-$axis. The equilibrium of a positive test charge placed at the point $O$ midway between them is stable for displacements along the $x-$axis.
Reason: The net force on the test charge at point $O$ is zero.

Electric charges $Q$ are placed on the $x$-axis at $x = 1, 2, 4, 8, \dots \text{meters}$ respectively. What are the electric field and electric potential at $x = 0$?

Two point charges of $40 \ \mu C$ and $-20 \ \mu C$ are placed at a certain distance. If they are brought into contact and then placed at the same distance,what is the ratio of the electrostatic force in the two cases?

Vedclass Test Series

Exam Paper Generator

Online Exam Module