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Coulomb's Law is considered one the most difficult concept.
49 Questions around this concept.
Two identical charged spheres suspended from a common point by two massless strings of length are initially a distance 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 . Then the relation between v and x 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 :
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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)
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.
K = Proportionality Constant
and are two Point charges
In SI unit value of K is
Where,
known as absolute permittivity of air or free space
The vector form of Coulomb's Law:
Consider two charges and separated by a distance r. Let the position vectors of be and that of be . Then the force due to on as shown in figure is directed along the unit vector and
Force when dielectric inserted between the charges:
When a dielectric of dielectric constant k is completely filled between the charges then force
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 then
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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