A hemisphere of radius R is placed in a unifo | vedclass

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

Question

(A, C) According to Gauss's Law, the total electric flux $\phi_{	ext{total}}$ through any closed surface in a region with no enclosed charge is zero,

Vedclass · Accepted Answer

Total flux enclosed is zero.

Vedclass · Answer

(A, C) According to Gauss's Law, the total electric flux $\phi_{	ext{total}}$ through any closed surface in a region with no enclosed charge is zero, i.e.,$\phi_{	ext{total}} = 0$.For the hemisphere, $\phi_{	ext{total}} = \phi_{	ext{curved}} + \phi_{	ext{flat}} = 0$.The flux through the flat circular surface is $\phi_{	ext{flat}} = -E \cdot A = -E(\pi R^2)$ (since the field lines enter the surface).Therefore, $\phi_{	ext{curved}} = -\phi_{	ext{flat}} = E \pi R^2$.Thus, statement $(A)$ is correct and $(C)$ is correct.Regarding the work done, for a uniform electric field, the potential difference $\Delta V = -\vec{E} \cdot \Delta \vec{r}$.Since points $A$ and $B$ lie on the same equipotential plane perpendicular to the electric field $\vec{E}$, the potential difference between $A$ and $B$ is $\Delta V = 0$.Therefore, the work done $W = q \Delta V = 0$, which is independent of the path and the radius $R$.

$A$ hemisphere of radius $R$ is placed in a uniform electric field $E$ so that its axis is parallel to the field. Which of the following statement$(s)$ is/are true?

Similar Questions

Arrangements of charges are shown in the figure. Flux linked with the closed surfaces $P$ and $Q$ respectively are . . . . . . and . . . . . . .

Four closed surfaces $S_1, S_2, S_3$ and $S_4$ together with charges $+q, -q$ and $-2q$ are shown. Through which one of the surfaces is the net flux zero?

The spatial distribution of the electric field due to two charges $(A, B)$ is shown in the figure. Which one of the following statements is correct?

Identify the $WRONG$ statement in the case of electric field lines.

$A$ charge $q$ is placed at the center of one of the faces of a cube. What is the electric flux linked with the cube?

Vedclass Test Series

Exam Paper Generator

Online Exam Module