English

What is relative permittivity?

Advertisements
Advertisements

Question

What is relative permittivity?

Long Answer
Advertisements

Solution

  1. Relative permittivity or dielectric constant is the ratio of the absolute permittivity of a medium to the permittivity of free space. It is denoted as K or εr.
    i.e., K or ε= `ε/(ε_0)`
  2. It is the ratio of the force between two point charges placed a certain distance apart in free space or vacuum to the force between the same two-point charges when placed at the same distance in the given medium.
    i.e., K or ε = `"F"_"vacuum"/"F"_"medium"`
  3. It is also called a specific inductive capacity or dielectric constant.
shaalaa.com
  Is there an error in this question or solution?
Chapter 10: Electrostatics - Exercises [Page 206]

APPEARS IN

Balbharati Physics [English] Standard 11 Maharashtra State Board
Chapter 10 Electrostatics
Exercises | Q 2. (ix) | Page 206

RELATED QUESTIONS

The electrostatic force on a small sphere of charge 0.4 μC due to another small sphere of charge −0.8 μC in air is 0.2 N.

  1. What is the distance between the two spheres?
  2. What is the force on the second sphere due to the first?

Four point charges q= 2 μC, q= −5 μC, qC = 2 μC, and qD = −5 μC are located at the corners of a square ABCD of side 10 cm. What is the force on a charge of 1 μC placed at the centre of the square?


Plot a graph showing the variation of coulomb force (F) versus ,`(1/r^2)` where is the distance between the two charges of each pair of charges: (1 μC, 2 μC) and (2 μC, − 3 μC). Interpret the graphs obtained.


Find the dimensional formula of ε0.


Two charges 2.0 × 10−6 C and 1.0 × 10−6 C are placed at a separation of 10 cm. Where should a third charge be placed, such that it experiences no net force due to these charges?


Consider a gold nucleus to be a sphere of radius 6.9 fermi in which protons and neutrons are distributed. Find the force of repulsion between two protons situated at largest separation. Why do these protons not fly apart under this repulsion?


NaCl molecule is bound due to the electric force between the sodium and the chlorine ions when one electron of sodium is transferred to chlorine. Taking the separation between the ions to be 2.75 × 10−8 cm, find the force of attraction between them. State the assumptions (if any) that you have made. 


Find the ratio of the electrical and gravitational forces between two protons.


Suppose an attractive nuclear force acts between two protons which may be written as F=Ce−kr/r2. Write down the dimensional formulae and appropriate SI units of C and k.   


Four equal charges of 2.0 × 10−6 C each are fixed at the four corners of a square of side 5 cm. Find the Coulomb's force experienced by one of the charges due to the other three. 


Ten positively-charged particles are kept fixed on the x-axis at points x = 10 cm, 20 cm, 30 cm, ...., 100 cm. the first particle has a charge 1.0 × 10−8 C, the second 8 × 10−8 C, the third 27 × 10−8 C and so on. The tenth particle has a charge 1000 × 10−8 C.  Find the magnitude of the electric force acting on a 1 C charge placed at the origin. 


Two charged particles with charge 2.0 × 10−8 C each are joined by an insulating string of length 1 m and the system is kept on a smooth horizontal table. Find the tension in the string.


Two identical pith balls are charged by rubbing one against the other. They are suspended from a horizontal rod through two strings of length 20 cm each, the separation between the suspension points being 5 cm. In equilibrium, the separation between the balls is 3 cm. Find the mass of each ball and the tension in the strings. The charge on each ball has a magnitude 2.0 × 10−8 C.


Two identical pith balls, each carrying a charge q, are suspended from a common point by two strings of equal length l. Find the mass of each ball if the angle between the strings is 2θ in equilibrium. 


Two particles A and B, each carrying a charge Q, are held fixed with a separation dbetween them. A particle C of mass m and charge q is kept at the middle point of the line AB.  Assuming x<<d, show that this force is proportional to x.


Define a unit charge.


Explain in detail Coulomb’s law and its various aspects.


Three charges +Q, q, +Q are placed respectively, at distance, 0, d/2 and d from the origin, on the X-axis. If the net force experienced by +Q, placed at x = 0, is zero then value of q is ____________.


Two-point charges of + 0.2 µµC and -0.2 µµC are separated by 1 o8 m. What is the value of the electric field at an axial point at a distance of 0.1 m from their mid-point?


Polarised dielectric is equivalent to ______.


The ratio of the forces between two small spheres with constant charge (a) in air (b) in a medium of dielectric constant K is ______.


Two positive charges ______.


The unit of charge is ______.


A spring of spring constant 5 × 103 N/m is stretched initially by 5 cm from the unstretched position. Then the work required to stretch it further by another 5 cm is:


The capacity of an isolate conducting sphere of radius R is proportional to


The S.I unit of electric permittivity is


According to Coulomb's law, which is the correct relation for the following figure?


Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from the mid-point on the perpendicular bisector. The value of x at which charge q will experience the maximum Coulomb's force is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×