For which of the following, the superposition principle does not hold?

Energy Density of Electric field

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JEE Main

IMPORTANT

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The line $A G$ in the shown figure is a diagonal of a cube. A positive point charge $q$ is located on the extension of line $A G$ very closeto vertexAofthe cube. The electric flux passing through side $A B C D$ is $\frac{- q}{6 k ε_{0}} .$ Find the value of $k .$

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Important Questions on Electrostatics

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 30

Consider a uniform spherical charge distribution of radius $R_{1}$ centered at the origin $O$ . In this distribution, a spherical cavity of radius, centered at $P$ with distance $O P = a = R_{1} - R_{2}$ (see figure) is made. If the electric field inside the cavity at position $\vec{r}$ is $\vec{E} (\vec{r})$ , then the correct statement is / are:

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 31

Two non-conducting solid spheres of radii

R

and

2 R

, having uniform volume charge densities

ρ_{1}

and

ρ_{2}

respectively, touch each other. The net electric field at a distance

2 R

from the centre of the smaller sphere, along the line joining the centres of the spheres, is zero. The ratio

\frac{ρ_{1}}{ρ_{2}}

can be ;

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 32

A parallel plate capacitor is to be constructed which can store

q = 10 μC

charge at

V = 1000 V

. The minimum plate area of the capacitor is required to be

A_{1}

when space between the plates has air. If a dielectric of constant

K = 3

is used between the plates, the minimum plate area required to make such a capacitor is

A_{2}

. The breakdown field for the dielectric is

8

times that of air. Find

\frac{A_{1}}{A_{2}} .

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 33

The plates of a parallel plate capacitor are charged upto

200 V

. A dielectric slab of thickness 4 mm is inserted between its plates. Then, to maintain the same potential difference between the plates of the capacitor, the distance between the plates is increased by

3.2 mm

. The dielectric constant of the dielectric slab is

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 34

On increasing the distance between the plates of a parallel plate condenser, which of the following statement is true?

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 35

A capacitor is charged by using a battery, which is then disconnected. A dielectric slab is then slipped between the plates, which results in

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 36

The equivalent capacitance of three capacitors of capacitance

C_{1}, C_{2}

and

C_{3}

are connected in parallel is

12 units

and product

C_{1} \cdot C_{2} \cdot C_{3} = 48 units

. When the capacitors

C_{1}

and

C_{2}

are connected in parallel, the equivalent capacitance is

6 units

. Then the capacitances are

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 37

The plates of a parallel plate capacitor have charges

Q

and

- 2 Q

. Its capacitance is

C

. The potential difference between its plates will be,

The line AG in the shown figure is a diagonal of a cube. A positive point charge q is located on the extension of line AG very closeto vertexAofthe cube. The electric flux passing through side ABCD is -q6kε0. Find the value of k.

Important Questions on Electrostatics

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The line $A G$ in the shown figure is a diagonal of a cube. A positive point charge $q$ is located on the extension of line $A G$ very closeto vertexAofthe cube. The electric flux passing through side $A B C D$ is $\frac{- q}{6 k ε_{0}} .$ Find the value of $k .$