The charge $q$ on a capacitor varies with voltage as shown in figure. The area of the triangle $AOB $ represents
electric field between the plates
electric flux between the plates
energy density
energy stored by the capacitor
How much electric flux will come out through a surface $S = 10\hat j$ kept in an electrostatic field $\vec E = 2\hat i + 4\hat j + 7\hat k$.........$units$
What will be the total flux through the faces of the cube as in figure with side of length $a$ if a charge $q$ is placed at ?
$(a)$ $A$ $:$ a corner of the cube.
$(b)$ $B$ $:$ midpoint of an edge of the cube.
Given below are two statements:
Statement $I :$ An electric dipole is placed at the centre of a hollow sphere. The flux of electric field through the sphere is zero but the electric field is not zero anywhere in the sphere.
Statement $II :$ If $R$ is the radius of a solid metallic sphere and $Q$ be the total charge on it. The electric field at any point on the spherical surface of radius $r ( < R )$ is zero but the electric flux passing through this closed spherical surface of radius $r$ is not zero.
In the light of the above statements, choose the correct answer from the options given below:
A point charge causes an electric flux of $-1.0 \times 10^{3}\; N\;m ^{2} / C$ to pass through a spherical Gaussian surface of $10.0\; cm$ radius centred on the charge.
$(a)$ If the radius of the Gaussian surface were doubled, how much flux would pass through the surface?
$(b)$ What is the value of the point charge?
The spatial distribution of the electric field due to charges $(A, B)$ is shown in figure. Which one of the following statements is correct