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ELECTROMAGNETIC INDUCTION (INDUCED ELECTRIC FIELD (this is a new field…
ELECTROMAGNETIC INDUCTION
PROPERTYES OF MAGNETIC FIELD LINES
MAGNETIC FLUX
formula :question:
all the consepts in electric flux
unit :question:
A CURRENT CARRYING LOOP IN MAGNETIC FIELD
change in B resulted in the current
change in area resulted in current
change in the angle between the area vector and magnetic field resuted in the magnetic field
all of this corrosponded to one physical quantity magnetic flux
change in the magnetic flux induces current in the loop
THE DIRECTION OF THE CURENT
LENS LAW
the curent in the loop flows in such way that it tries to keep its fluc same
problems when B is changing , area is changing and angle is changing
THE MAGNITUDE OF THE CURRENT
FARADAY LAW
explaind the by the two diffrent conductor of identical symetry subjected to the same magnetic field
the changing flux bulds emf in the hole loop this cause the current to flow
magnitude of current is diffrent based of resistance
equivalant circuit digram
FORMULA :question:
PROBLEMS WHEN B IS CHANGIN WITH TIME AT A CERTAIN ANGLE(VECTOR FORM TOO)
PROBLEMS WHEN A IS CHANGING WITH TIME
PROBLEMS WHEN ANGLE IS CHANGING WITH TIME
PROBLEMS WHEN ALL OF ANY TWO ARE CHANGING (VECTOR FORM TOO )
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INDUCTORS
SELF INDUTANCE
consept is only valid for loop
when the current in the loop changes the flux changes
the loop tries to oppose it by a back voltage
formula :question:
SELF INDUCTANC DUE TO A SOLONOID
CALCULATION THE SELF INDUCTANCE OF ANY LOOP
write the total flux throuh the system by itself
show it proptional to the i ansd the rest is the self inductanc
PROBLEM ON THE FORMULA
FORMULA AND DERAVATION OF THE BACK POTENTIAL :question:
INDUCTOR
APPLY KRICHOFF LAWS TO IT
ENERGY IN AN INDUCTOR
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L UNIT
it dose not depend on the flux or i
MUTUAL INDUCTANCE
it is the flux in the secondary loop due to the primary loop
formula :question:
unit
M depends only on the system gemotery
CALCULATION M FOR ANY SYSTEM
choose the primary and secondary loops
find the flux
divide by i
choose primare and secondary loop so that he mathmatical calculations are easy
INDUCED ELECTRIC FIELD
this is a new field this is not electric field but exibite some propertyes from it
as the loop when flux is change exibits currents there the energy is reive and as the magnetic field can not do theis this is the work of a new type of field
in oure cource we only examie the cylindrical fields
its direction was circular and it varried accordny inverse of r from the centere
it forms closed loops
closed intigral of e dl is faradays law emf
FORMULA FOR THIS FIELD ANLONG EQUIN FIELD SURFACE
FORMULA FOR FIELD OUTSIDE
ANYLICIS OF A CONDUCTING ROD IN A MAGNETIC FIELD
MOTIONAL EMF
SPECIAL CASE IBL
when rod is moving in constant magnetic field and the velocity is constant for all particles angle is same
formula :question:
we balance the forece of electric field and magintic field on the positron in the middle
GENRAL CASE
when field , angle, velocity of particles can vary
we break the rod in dl parts and apply the force on charges and then intigrate it for the hole rod
FORMULA WITH DERIVATION AND EXPLATION IN VECTIOR :question:
the angle is in between velocity and magneric field
and the directio of the force depends of vector velocity as for a certain angel of V and B the angle of force with rod(particle and bound to rod can not make circle in diffrent space)whose component along the rod is balance by the electric field
therefore the emf is a sclar triple product
THE dl CAN BE TAKEN AS THE TOTAL LENGTH BETWEEN TWO POINTS IF B , V ARE CONSTANT AND ONLY dl IS CHANGING
PROBLEMS ON TWISTED WIRES
PROBLEMS WHEN THE ROD IS MOVED IS NOT UNIFORM FIELD
PROBLEMS ON LOOPS
in a loop if it is moving in uniform field then the emf on all sides cancle
in non uniform it dose not happen
emf genrated on a loop can be calcualted in two way one by the farady law on motional emf
EMF ACROSS A ROTATING ROD
FORMULA AND DERIVATION :question:
CAN ONLY BE W.R.T A FIXED POINT
IF THE WIRE IS TWISTED THE BY JOINIG END POINT EXPLAIN HOW :question:
PROBLEMS ON POTENTIAL DIFFRENCE OF DIFFRENT TYPES OF ROD
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solonoid
ring
wire
torroind
combination of wire ring and others