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Coulomb's Law MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • Coulomb's Law is considered one the most difficult concept.

  • 53 Questions around this concept.

Solve by difficulty

Two identical charged spheres suspended from a common point by two massless strings of length l are initially a distance d(d< < l) apart because of their mutual repulsion. The charge begins to leak from both spheres at a constant rate. As a result, the charges approach each other with a velocity \upsilon. Then the relation between v and x is:

With the rise in temperature, the dielectric constant K of a liquid

A force F acts between sodium and chlorine ions of salt (sodium chloride) when put 1 cm apart in air. The permittivity of air and dielectric constant of water are ε0 and K respectively. When a piece of salt is put in water electrical force acting between sodium and chlorine ions 1 cm apart is

A charge Q is placed at each of the opposite corners of a square. A charge q is placed at each of the other two corners. If the net electrical force on Q is zero, then the Q/q equals

Two spherical conductors B  and C   having equal radii and carrying equal charges in them repel each other with a force  F   when kept apart at some distance.A   third spherical conductor having same radius as that of  B   but uncharged is brought in contact with  B   then brought in contact with   C  and  finally removed away from both, The new force of repulsion between  B  and  C   is  :

Two charges equal in magnitude and opposite in polarity are placed at a certain distance apart and force acting between them is F. If 75% charge of one is transferred to another, then the force between the charges becomes

Two positive ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge on an electron)

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Concepts Covered - 1

Coulomb's Law

Coulomb's Law: The force of attraction or repulsion between two charges is directly proportional to the product of the two charges and inversely proportional to the square of the distance between them.

FQ1Q2r2F=KQ1Q2r2

K= Proportionality Constant
Q1 and Q2 are two Point charges
In SI unit value of K is

K=14πε0


Where,

(ε0)=8.85×1012C2Nm2 known as absolute permittivity of air or free 
 

space


 

The vector form of Coulomb's Law: 

                                                       

Consider two charges q1 and q2 separated by a distance r. Let the position vectors of q1 be r1 and that of q2 be r2 Then the force due to q2 on q1 as shown in figure F12 is directed along the unit vector r12 and

F12=Kq1q2r2r^12 here, r^12=r1r2|r1r2|=r12rF12=Kq1q2r3r12


Force when dielectric inserted between the charges:
When a dielectric of dielectric constant k is completely filled between the charges then force

Fmed=q1q24πε0kr2=q1q24πε0ϵrr2

ϵr is relative permittivity / dielectric constant of the medium. The dielectric constant is the ratio of the permittivity of a substance to the permittivity of free space. (dielectric will be explained later in detail in this chapter)

If the dielectric of thickness d is partially filled between the charges Q1 and Q2 then

                                                                                 

                                                                            F=Q1Q24πϵ0(rd+kd)2

 

Principle of Superposition:

It states that the total force acting on a given charge due to a number of charges is the Vector sum of the individual forces acting on that charge due to all the charges.

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Coulomb's Law

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