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Before you go through this article, make sure that you have gone through the previous article on Electrical Capacitance of a Conductor.
We have learnt
If charge Q raises the potential of conductor by V, then its electrical capacitance is given by the formula
In this article, we will learn about the capacitance of an isolated spherical conductor.
Consider an isolated spherical conductor of radius R in free space. Let a charge Q is given to the sphere which spreads uniformly on its surface.
The electric potential at any point on the surface of sphere is given by
(Equation01)
Also Read Electric Potential Due To Uniformly Charged Thin Spherical Shell
Now, capacitance is given by the formula
(Equation02)
Using Equation01 in Equation02, we get
On solving, we get
This is the required formula for the capacitance of an isolated spherical conductor.
The capacitance of an isolated spherical conductor is directly proportional to its radius.
Thus, larger the sphere, larger is its capacitance & smaller the sphere, smaller is its capacitance.
The above formula for capacitance C= 4πε_{o}R is valid for both hollow and solid spherical conductors.
Read the next article on
Parallel Plate Capacitor
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The electrical capacitance of a conductor is a measure of its ability to store electric charge or energy. 
It is a positive scalar quantity.
When a conductor is given some charge, it acquires a certain electric potential.
More is the charge on a conductor, more is the electric potential of it.
If a charge Q is put on a conductor which raises its potential by V, then
Or we can write
where C is a constant of proportionality called as electrical capacitance of the conductor.
From here, we have
OR
If V = 1 unit, then C = Q. Thus,
The electrical capacitance of a conductor may be defined as the charge required to raise its potential by a unit amount. 
The capacitance of a conductor depends upon the following factors
It is worth noticing that the capacitance of a conductor does not depend on the
The SI unit of capacitance is farad (F). 
The capacitance of conductor is said to be one farad if one coulomb of charge is required to raise its potential by 1 volt.
It is important to note that one farad is a very large unit of capacitance. Other smaller and practical units of capacitance are
The dimensional formula of capacitance is [M^{1}L^{2}T^{4}A^{2}]. 
It can be derived as
Also Read Deriving Dimensional Formula of Electric Potential
Read the next article on
Capacitance of Isolated Spherical Conductor
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General Instructions

The post Mobility of Charge Carriers  MCQs Quiz first appeared on Physics Vidyalay.
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Before you go through this article, make sure that you have gone through the previous article on Mechanism of Current Flow.
We have learnt
In this article, we will learn about mobility of charge carriers.
The conductivity of any material is due to its mobile charge carriers. These may be
The mobility of a charge carrier is defined as the drift velocity acquired by it in a unit electric field. 
The mobility of a charge carrier is denoted by the symbol μ and is given by the formula
(Equation01)
From equation01, the mobility of a charge carrier is given by
So, SI unit of mobility is given by
From equation01, the mobility of a charge carrier is given by
So, dimensional formula of mobility is given by
We know, the relation between electric current and drift velocity of charge carriers is given by
(Equation02)
Also Read Derivation of Relation Between Electric Current & Drift Velocity
From equation01, we have
(Equation03)
Using Equation03 in Equation02, we get
This is the required relation between electric current and mobility of charge carrier.
Read the next article on
Get more notes & other study material of the Chapter Current Electricity.
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General Instructions

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