English
Karnataka Board PUCPUC Science Class 11

Does the Force on a Charge Due to Another Charge Depend on the Charges Present Nearby? - Physics

Advertisements
Advertisements

Question

Does the force on a charge due to another charge depend on the charges present nearby?

One Line Answer
Advertisements

Solution

Coulomb's Law states that the force between two charged particle is given by `F = (q_1q_2)/(4pi∈_0r^2)`,
where
q1 and q2 are the charges on the charged particles
r = separation between the charged particles

`∈_o`= permittivity of free space

According to the Law of Superposition, the electrostatic forces between two charged particles are unaffected due to the presence of other charges.

shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Electric Field and Potential - Short Answers [Page 119]

APPEARS IN

HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 7 Electric Field and Potential
Short Answers | Q 6 | Page 119

RELATED QUESTIONS

A charge of 1.0 C is placed at the top of your college building and another equal charge at the top of your house. Take the separation between the two charges to be 2.0 km. Find the force exerted by the charges on each other. How many times your weight is this force?


Two charged particles are placed 1.0 cm apart. What is the minimum possible magnitude of the electric force acting on each charge?


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. Suppose that k = 1 fermi−1 and that the repulsive electric force between the protons is just balanced by the attractive nuclear force when the separation is 5 fermi. Find the value of 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. 


A particle with a charge of 2.0 × 10−4 C is placed directly below and at a separation of 10 cm from the bob of a simple pendulum at rest. The mass of the bob is 100 g. What charge should the bob be given so that the string becomes loose? 


A particle A with a charge of 2.0 × 10−6 C and a mass of 100 g is placed at the bottom of a smooth inclined plane of inclination 30°. Where should another particle B, with the same charge and mass, be placed on the incline so that it may remain 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.   Under what conditions will the particle C execute simple harmonic motion if it is released after such a small displacement? Find the time period of the oscillations if these conditions are satisfied.


Repeat the previous problem if the particle C is displaced through a distance x along the line AB. 


A point charge produces an  electric field of magnitude 5.0 NC−1 at a distance of 40 cm from it. What is the magnitude of the charge?


Two particles of masses 5.0 g each and opposite charges of +4.0 × 10−5 C and −4.0 × 10−5 C are released from rest with a separation of 1.0 m between them. Find the speeds of the particles when the separation is reduced to 50 cm.  


Write down Coulomb’s law in vector form and mention what each term represents.


The electric force acting between two point charges kept at a certain distance in vacuum is 16 N. If the same two charges are kept at the same distance in a medium of dielectric constant 8, the electric force acting between them is ____________ N.


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


The value of electric permittivity of free space is ______.

The S.I unit of electric permittivity is


There is another useful system of units, besides the SI/mks A system, called the cgs (centimeter-gram-second) system. In this system Coloumb’s law is given by

F = `(Qq)/r^2 hatr`

where the distance r is measured in cm (= 10–2 m), F in dynes (= 10–5 N) and the charges in electrostatic units (es units), where 1 es unit of charge = `1/([3]) xx 10^-9 C`

The number [3] actually arises from the speed of light in vaccum which is now taken to be exactly given by c = 2.99792458 × 108 m/s. An approximate value of c then is c = [3] × 108 m/s.

(i) Show that the coloumb law in cgs units yields

1 esu of charge = 1 (dyne)1/2 cm.

Obtain the dimensions of units of charge in terms of mass M, length L and time T. Show that it is given in terms of fractional powers of M and L.

(ii) Write 1 esu of charge = x C, where x is a dimensionless number. Show that this gives

`1/(4pi ∈_0) = 10^-9/x^2 (N*m^2)/C^2`

With `x = 1/([3]) xx 10^-9`, we have `1/(4pi ∈_0) = [3]^2 xx 10^9 (Nm^2)/C^2`

or, `1/(4pi ∈_0) = (2.99792458)^2 xx 10^9 (Nm^2)/C^2` (exactly).


Which of the following statements about nuclear forces is not true?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×