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
- Electric Flux
E E.ds
Units N - m^2 /Coulomb or Volt meter.
- 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. - 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
- Measurement of magnetic field
A variable current is applied to a parallel plate
capacitor.
(I) At point Q
B.dl 0 ci id
As id (^0) (^) B.dl 0 ci
(II) At point P:
B.dl 0 ci id
But ic= 0 B.dl 0 di
- 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
- 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
- Electric Flux
- Displacement Current
- Ampere -Maxwell’s Law
- Measurement of magnetic field
20. Magnetic field between the plates
- Maxwell’s Equations
- Nature of electromagnetic waves
. B
d
E dl
dt
(4) Lorentz Force
F q E v B
- Nature of electromagnetic waves
Electric and magnetic fields oscillate sinusoidally
in space and time in an electromagnetic wave,