Electric Charge

  • The concept of charge dates back to ancient Greece, where Thales observed static electricity by rubbing amber with fur around 600 BEC.
  • Static electricity can be observed in various ways. For example when clothes are removed from a dryer , they cling together because electric charged are transferred between the clothes.
  • When we brush our hair both hair and brush become charged .
  • Static electric charge :- A stationary electric charge typically produced by friction which causes sparks or cracking or the attraction of dust or hairs.
  • Electric charge :- Electric charge is the basic properties of matter due to which it experience a force when kept in an electric field or magnetic field .
  • Electric charge is denoted by Q or q .
  • It a scalar quantity .
  • Its SI unit is Coulomb ( C ).
  • cgs unit is stat coulomb.
    1C=3×109stat coulomb. 

* Properties of electric charge *

  1. Only two types of charge is possible  either positive or negative .
  2. Like charge repel and unlike charge attract each other
  3. Quantization of electric charge :- It state that electric charge on a body can only be exist in the integral multiple of electrons transferred ,it cannot be fractional.   Q = ne , where , n= number of electrons = 1,2,3,4,5……….  ,  Q = charge ,  e = charge on an electron.
  4. Additive property of charge  :- Total charge on a body is algebraic sum of charges present at its different portions.
  5. Law of conservation of charge :- It state that electric charge can neither be created nor be destroyed but it an be transferred from one body to another body , total charge of a system is always conserved.
  • Charge is always associated with mass .
  • Loss of electrons of electrons gives positive charge . number of protons > number of electrons.
      •  Gain of electrons gives negative charge. number of protons < number of electrons .
      •  when an object is negatively charged ,it gains electros and therefore its mass increases negligibly .
      • When an object is positively charged it losses electrons and therefore its mass decreases .
      • Smaller unit of charge
          1milli coulomb=1mC=1×103C
        1micro coulomb = 1μC=1×106C
        1nano coulomb=1nC=1×109C
        1pico coulomb = 1pC= 1×1012C







    • Charge on an electron=1.6×1019C.
    • Mass of an electron =9.11×1031kg=9.11×1028g
    • Charge on a proton=+1.6×1019C
    • Mass of a proton=1.67×1027kg=1.67×1024g
    • Charge on a neutron=chargeless(neutral)
    • Mass of a neutron=1.67×1027kg=1.67×1024g
    • Atoms are electrically neutral because the number of negatively charged particles electron and positively  charged particles proton are equal in an atom.

Electric current

  • Electric current  :- The rate of flow of electric charges is known as electric current.
  • It is denoted by I
  • electric current  =
    electric chargetime
  • I = Qt  or  (I=dq dt) 
  • Its S.I unit is ampere (A).  1C/s = 1A.
  • It is a scalar quantity.
  • 1ampere :- When one coulomb of charge flows through the conductor in per second the amount of current is said to be 1ampere.
  • It is measured by ammeter.
  • The direction of current is taken as opposite to the direction flow of electrons.
  • By conventional the direction of flow of positive charge taken as direction of electric current.
  • Conductor:- The substance which conduct electricity easily is known  as conductor. example :- copper, Aluminum etc.
  • Silver is the best conductor .
  • Insulator :– The substance which do not conduct electricity are known as insulator. example:- wood, rubber etc.
  • Electric Circuit :- Continuous and closed path of electric current is known as electric circuit. 
  • Electric Potential :- The amount of work done in bringing a unit positive test charge form infinite to a point in the electric field is said to be electric potential at that point 

\Rightarrow   It is represented by `V` 

V =  \dfrac{W}{q_{0}}

\Rightarrow It is a scalar quantity.

\Rightarrow Its S.I unit is volt (V) 

* When :- 

           W = 1J ,   q_{0} = 1C

Then , V = \dfrac{1J}{1C}   = 1Volt 

\dfrac{1J}{C} =  1V 

Thus, 

Thus  electric potential is said  to be one volt when 1 Joule of work is done in bringing unit positive test charge from in infinite to a point in the electric field 

  • Potential difference :- The difference of electric potential between two points is know as potential  difference, 
  • V_{A}  –  V_{B}  =  \dfrac{W}{q}  
  • or, \Delta V  = \dfrac{\Delta W }{q} 
  • Or,  \Delta W  = q.\Delta V

Note :- (I) Positive Charge moves from higher potential to lower potential . 

(ii)  Current flows from higher potential to lower potential. 

(iii)  Electrons moves lower potential to higher potential.

  • Electric Field :- The space around electric charge in which any other charge experience some net force is called electric field. 
  • Ammeter :- An ammeter is an instrument that measure electric current in a circuit

\Rightarrow It is connected in series in the circuit 

\Rightarrow It is very low resistance device.

\Rightarrow Ideal ammeter has zero resistance. 

\Rightarrow An ammeter has low resistance for large deflection 

  • Voltmeter :- A voltmeter is a device which measures voltage or potential difference between two points in an electric circuit. 

\Rightarrow Voltmeter is connected in parallel in the circuit.

\Rightarrow It has very high resistance .

\Rightarrow Resistance of ideal voltmeter is infinite . 

\Rightarrow The voltmeter has high resistance because it does not draw any current.

Q . Why is an ammeter has low resistance ? 

ANS :- An ammeter should low resistance because it minimizes the voltage drop across the meter when it is connected is series with a circuit .  

Q. Why voltmeter has high resistance ? 

ANS :- A voltmeter has high resistance to minimizes the flow of current through it when measuring voltage . 

 

  • Difference between ammeter and voltmeter
  • Ammeter 
  1. It is used to  measure current in the circuit 
  2. it is connected in series in the circuit 
  3. it has low resistance 

Voltmeter 

  1. It is used to measure voltage 
  2. it is connected in parallel in the circuit 
  3. it has high resistance.
  • Ohm`s law 

\Rightarrow It state that at constant temperature the current flowing through a conductor is directly proportional to the potential difference across the conductor 

I  \propto  V 

 

V  \propto  I

V = IR 

R = \dfrac{V}{I}  

Where, R is proportionality constant and also called resistance of conductor 

  • Verification of ohm`s law 
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