Physics Times 07.2019

(Kiana) #1
Energy in the inductor is
2 2 2
1 2 sin
2 2

UL Li Lqo t

Total energy

2
.
2

o
C L
T E U U q
C

  

Here^1
LC

 

Electromagnetic waves



  1. Electric Flux


 E E.ds

Units N - m^2 /Coulomb or Volt meter.



  1. Displacement Current
    The rate of change of electrical flux produces a
    current called displacement current “ i d”.
     Unlike conduction current displacement current
    exists when there is rate of change of electrical
    flux.
    The displacement current is found between the
    plates of a condenser during its charging or
    discharging.

  2. Ampere -Maxwell’s Law


 B dl.    0 i ic d


 

. 0 c 0 E
B dl i d
dt


      

  


 

ic= The conduction current found in a conductor
carrying current.
id= Displacement current which is found between
the plates of a condenser which is discontinuous.

Displacement Current : d 0 E
i d
dt


  


  1. Measurement of magnetic field
    A variable current is applied to a parallel plate
    capacitor.


(I) At point Q

B.dl  0 ci id


 

As id (^0)  (^) B.dl 0 ci
 
(II) At point P:


B.dl  0 ci id


 

But ic= 0 B.dl 0 di


 


  1. Magnetic field between the plates
     The figure shows the cross-section of Electrical
    field between the plates of a condenser having
    the plates of radius R.
     The electric field is acting into the paper.


 The magnetic field at a distance “ r ” from the
axis is

B d. l ^0 i


  2
2 0 d 2.

i
B r r
R

    

0
2 d^2

B i r
R


 


  1. Maxwell’s Equations
    (1) Gauss law for electricity


E d A q.  net/^0


 

(2) Gauss law for magnetism

B d A. ^0


 

(3) Faraday’s law

Electromagnetic waves



  1. Electric Flux




  1. Displacement Current

  2. Ampere -Maxwell’s Law





  1. Measurement of magnetic field
    20. Magnetic field between the plates





  1. Maxwell’s Equations

  2. Nature of electromagnetic waves
    . B


d
E dl
dt

  


  

(4) Lorentz Force
F q E v B   

  


  1. Nature of electromagnetic waves
    Electric and magnetic fields oscillate sinusoidally
    in space and time in an electromagnetic wave,

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