A cylindrical surface of radius $r$ and length $l$ contains a thin, straight conducting wire of charge density $\lambda$ of infinite length. The axis of the cylindrical surface coincides with the length of the wire. Find the expression for electric flux through a cylindrical surface.
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Electric Charges and Fields question types
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20 Q→Sample Questions
Electric Charges and Fields questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Two electric charges $+Q$ and $-Q(x-y)$ are placed at the points $\left(-x_2, 0\right)$ and $\left(x_1, 0\right)$ respectively in the plane. Find the magnitude and direction of the resultant electric field at the origin $(0,0)$.
View full solution →Draw the graph of variation of Coulomb force (F) with $(r)$. Where the distance between the two charges of each charge pair is ( $1 \mu C , 2 \mu C$ ) and ( $2 \mu C$, $-3 \mu C$ ). Analyse the graph obtained.
View full solution →A force F facts on a point charge placed on the axis of an electric dipole. If the distance of a point charge from the dipole is doubled, what will be the force on it? Explain the reason also.
Two identical metal spheres of exactly equal mass have been taken. One is charged with negative charge say q and the other with the same amount of positive charge. Will there be any difference in the mass of the two spheres? If yes then why?
Two electric charges $+Q$ and $-Q(x-y)$ are placed at the points $\left(-x_2, 0\right)$ and $\left(x_1, 0\right)$ respectively in the plane. Find the magnitude and direction of the resultant electric field at the origin $(0,0)$.
View full solution →Write the formula to determine the value of electric field intensity due to a uniformly charged thin spherical shell.
Write the value of the electric field due to an electric dipole at a point situated on its axis.
Draw lines of force due to point charges when
(i) $q<0$ and (ii) $q>0 . \quad$
View full solution →(i) $q<0$ and (ii) $q>0 . \quad$
Can a metal sphere of radius 1 em be given a charge of IC?
The flux inside a balloon of radius 7.0 cm is 2.0 - $10^3 NmC ^{-1}$. If the radius of the balloon is doubled, what will be the value of flux?
View full solution →Two cations with equal charge repel each other with a force of $3.7 \times 10^{-9}$ Newton while the distance between them is $5 A$. How many electrons are less in each ion than in the normal state?
View full solution →The charge density of two uniformly charged parallel infinite plane sheets ' 1 ' and ' 2 ' are $+\sigma$ and $-2 \sigma$ respectively. Find the magnitude and direction of the net electric field (i) at any point between these two sheets and (ii) at any point outisde these two sheets but near sheet ' 1 '.
View full solution →The radius of a thin hollow metal sphere (spherical shell) is 30 cm . And there is a charge of 500 $\mu C$ on that spherical shell. Find the electric field intensity at a distance.(i) 1 meter, (ii) 30 cm , (iii) 10 cm , from the centre of the cell.
View full solution →Point charge q is placed (i)at the mid-point of the core of a cube of side a meter (ii)centrally on a plane of a cube of side a meter. Calculate the total flux associated with the cube. Also find out how many surfaces of the cube will be the total flux associated?
Two point charges $5 \mu C$ and $-5 \mu C$ are kept at a distance of 1 cm from each other. Calculate the intensity of the electric field at a distance of 0.30 cm from mid-point (i) in the axial position, (ii) in neutral position.
View full solution →The electric flux on a Gaussian spherical surface of radius 15 cm, drawn with a point charge as the centre, is ф. If the radius of this surface is tripled, then the electric flux passing through the surface will be:
- AZero
- BInfinity
- C3ф
- ✓ф
Answer: D.
View full solution →The value of dielectric strength for air is:
- ✓$3 \times 10^6 V / m$
- B$3 \times 10^8 V / m$
- CZero
- DInfinity
Answer: A.
View full solution →The SI value of electrical conductivity of free space or vacuum is:
- A$9 \times 10^{\circ} Nm ^2 / C ^2$
- B$-9 \times 10^{\circ} Nm ^2 / C ^2$
- ✓$8.854 \times 10^{-12} C ^2 N^{-1} m^{-2}$
- D$8.854 \times 10^{12} C ^2 N^{-1} m^{-2}$
Answer: C.
View full solution →The SI unit of electric flux is:
- ✓$NC ^{-1} m^2$
- B$NC ^{-1} m^-2$
- C$N ^{-1} C ^{-1} m^{-2}$
- D$N ^{-1} C ^{1} m^{2}$
Answer: A.
View full solution →The magnitude of the electric field due to a point charge at a distance of 4.0 m is 9 N/C. Distance of this point charged substance due to electric field of magnitude 16 N/C will be:
- A1 m
- B2 m
- ✓3 m
- D6 m
Answer: C.
View full solution →By defining electric dipole and dipole moment, find the necessary formula for the field intensity at any point located on the neutral (equatorial plane) of the dipole.
Write the statement of Gauss's law for electrostatics. Draw a diagram and derive an expression for the electric field due to a uniformly charged infinite plane sheet at a point near it.In the given figure, write the value of electric flux emerging from the surface :
Prove that due to a charged layer of infinite expansion, the value of the electric field at any point near it does not depend on the area of the surface and the distance from the layer . i.e., the electric field remains uniform at points near the layer.###Write Gauss'law.By applying this rule,find the value of the electric field due to a uniformly charged infinite plane sheet at any point near the sheet.
What is Gauss theorem? With its help, obtain an expression for the electric field intensity at any point near a uniformly charged linear conductor of infinite length.###Make the necessary diagram and with the help of Gauss law, calculate the electric field intensity at any point due to a charged wire of infinite length. Plot the change in intensity with distance.###Define Gauss' law. With its help, find the value of electric field intensity at a distance from a uniformly charged linear conductor of infinite extension. Make the necessary diagram and also make a graph of the change of electric field with distance.
What is meant by electric field lines? Give examples of electric field lines due to different charge distributions and also write their characteristics.
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