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Inductance

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INDUCTANCE

GENERAL PHYSICS II
12-STEM
INDUCTANCE
A CURRENT GENERATED IN A CONDUCTOR BY A CHANGING MAGNETIC
FIELD IS PROPORTIONAL TO THE RATE OF CHANGE OF THE MAGNETIC FIELD.
THIS EFFECT IS CALLED INDUCTANCE AND IS GIVEN THE SYMBOL L.
ONE HENRY IS THE AMOUNT OF INDUCTANCE REQUIRED TO PRODUCE AN
EMF OF 1 VOLT IN A CONDUCTOR WHEN THE CURRENT IN THE CONDUCTOR
CHANGES AT THE RATE OF 1 AMPERE PER SECOND.
IT IS MEASURED IN UNITS CALLED THE HENRY (H) NAMED AFTER THE
AMERICAN PHYSICIST JOSEPH HENRY (1797-1878).
GENERAL PHYSICS 2- STEM 02/06/2021
INDUCTION and INDUCTOR
THIS PROCESS OF GENERATING ELECTRICAL CURRENT IN A CONDUCTOR BY
PLACING THE CONDUCTOR IN A CHANGING MAGNETIC FIELD IS
CALLED ELECTROMAGNETIC INDUCTION OR JUST INDUCTION. IT IS CALLED
INDUCTION BECAUSE THE CURRENT IS SAID TO BE INDUCED IN THE CONDUCTOR BY
THE MAGNETIC FIELD.
INDUCTOR IS A COIL OF WIRE WOUND AROUND A CENTRAL CORE. THIS
RESULTS IN A MUCH STRONGER MAGNETIC FIELD THAN ONE THAT WOULD BE
PRODUCED BY A SIMPLE COIL OF WIRE. IT STORE ENERGY IN THE FORM OF A
MAGNETIC
FIELD.

GENERAL PHYSICS 2- STEM 02/06/2021


FACTORS AFFECTING INDUCTANCE:

• THE AMOUNT OF INDUCTANCE IN AN INDUCTOR IS DEPENDENT ON:


1. THE NUMBER OF TURNS OF WIRE IN THE INDUCTOR.
2. THE MATERIAL OF THE CORE.
3. THE SHAPE AND SIZE OF THE CORE.

GENERAL PHYSICS 2- STEM 02/06/2021


SELF INDUCTANCE
SELF INDUCTION IS THAT PHENOMENON IN WHICH A CHANGE IN ELECTRIC
CURRENT IN A COIL PRODUCES AN INDUCED EMF IN THE COIL ITSELF.

• WHERE:
• E IS THE INDUCED BACK E.M.F. IN VOLTS
• L IS THE INDUCTANCE OF THE COIL IN HENRIES.
• ΔI IS THE CHANGE IN CURRENT, IN AMPERES.
• ΔT IS THE TIME TAKEN FOR THE CHANGE IN CURRENT, IN SECONDS.
GENERAL PHYSICS 2- STEM 02/06/2021
SELF INDUCTANCE OF A COIL
AS THE INDUCTANCE OF A COIL IS DUE TO THE MAGNETIC FLUX AROUND IT, THE STRONGER
THE MAGNETIC FLUX FOR A GIVEN VALUE OF CURRENT THE GREATER WILL BE THE INDUCTANCE
WHERE:
L IS IN HENRIES
ΜΟ IS THE PERMEABILITY OF FREE SPACE (4.Π.10-7)
N IS THE NUMBER OF TURNS
A IS THE INNER CORE AREA (Π.R 2) IN M2
L IS THE LENGTH OF THE COIL IN METRES

GENERAL PHYSICS 2- STEM 02/06/2021


ENERGY STORED BY AN INDUCTOR
THE ENERGY IS ACTUALLY BEING STORED WITHIN THE MAGNETIC FIELD THAT
SURROUNDS THE INDUCTOR BY THE CURRENT FLOWING THROUGH IT.
WHERE:
W IS IN JOULES,
L IS IN HENRIES
I IS IN AMPERES

GENERAL PHYSICS 2- STEM 02/06/2021


INDUCTOR IN SERIES CIRCUIT
INDUCTORS ARE SAID TO BE CONNECTED IN “SERIES” WHEN THEY ARE DAISY
CHAINED TOGETHER IN A STRAIGHT LINE, END TO END. IN RESISTORS IN SERIES, THE
DIFFERENT VALUES OF THE RESISTANCES CONNECTED TOGETHER IS OBTAINED BY ADDING
THE RESISTORS.

HOWEVER, THE ABOVE EQUATION ONLY HOLDS TRUE WHEN THERE IS “NO” MUTUAL
INDUCTANCE OR MAGNETIC COUPLING BETWEEN TWO OR MORE OF THE INDUCTORS

GENERAL PHYSICS 2- STEM 02/06/2021


INDUCTOR IN SERIES CIRCUIT

GENERAL PHYSICS 2- STEM 02/06/2021


INDUCTORS IN PARALLEL CIRCUIT
HERE, LIKE THE CALCULATIONS FOR PARALLEL RESISTORS, THE RECIPROCAL ( 1/LN ) VALUE
OF THE INDIVIDUAL INDUCTANCES ARE ALL ADDED TOGETHER INSTEAD OF THE INDUCTANCES
THEMSELVES.

THE ABOVE EQUATION ONLY HOLDS TRUE WHEN THERE IS “NO” MUTUAL
INDUCTANCE OR MAGNETIC COUPLING BETWEEN TWO OR MORE OF THE INDUCTORS

GENERAL PHYSICS 2- STEM 02/06/2021


INDUCTORS IN PARALLEL CIRCUIT

GENERAL PHYSICS 2- STEM 02/06/2021


FARADAY'S LAW
ANY CHANGE IN THE MAGNETIC ENVIRONMENT OF A COIL OF WIRE WILL CAUSE A VOLTAGE (EMF) TO BE
"INDUCED" IN THE COIL. THE INDUCED EMF IN A COIL IS EQUAL TO THE NEGATIVE OF THE RATE OF CHANGE OF MAGNETIC
FLUX TIMES THE NUMBER OF TURNS IN THE COIL. IT INVOLVES THE INTERACTION OF CHARGE WITH MAGNETIC FIELD.
WHERE:
N=NUMBER OF TURNS
B=MAGNETIC FLUX
A=AREA
T=TIME
THE MINUS SIGN DENOTES LENZ’S LAW.

GENERAL PHYSICS 2- STEM 02/06/2021


IMPORTANT EQUATIONS
ELECTROMAGNETIC INDUCTION

GENERAL PHYSICS 2- STEM 02/06/2021


INDUCTOR TYPES BASED ON CORE

GENERAL PHYSICS 2- STEM 02/06/2021


AIR CORE INDUCTOR
• CERAMIC CORE INDUCTORS ARE REFERRED AS “AIR CORE INDUCTORS”.
CERAMIC IS THE MOST COMMONLY USED MATERIAL FOR INDUCTOR CORES.
CERAMIC HAS VERY LOW THERMAL CO-EFFICIENT OF EXPANSION, SO EVEN
FOR A RANGE OF OPERATING TEMPERATURES THE STABILITY OF THE
INDUCTOR’S INDUCTANCE IS HIGH. SINCE CERAMIC HAS NO MAGNETIC
PROPERTIES, THERE IS NO INCREASE IN THE PERMEABILITY VALUE DUE TO
THE CORE MATERIAL.
• ITS MAIN AIM IS TO GIVE A FORM FOR THE COIL. IN SOME CASES IT WILL
ALSO PROVIDE THE STRUCTURE TO HOLD THE TERMINALS IN PLACE. THE
MAIN ADVANTAGE OF THESE INDUCTORS ARE VERY LOW CORE LOSSES, HIGH
QUALITY FACTOR. THESE ARE MAINLY USED IN HIGH FREQUENCY
APPLICATIONS WHERE LOW INDUCTANCE VALUES ARE REQUIRED.

GENERAL PHYSICS 2- STEM 02/06/2021


IRON CORE INDUCTOR
• IN THE AREAS WHERE LOW SPACE INDUCTORS ARE IN NEED THEN
THESE IRON CORE INDUCTORS ARE BEST OPTION.THESE
INDUCTORS HAVE HIGH POWER AND HIGH INDUCTANCE VALUE
BUT LIMITED IN HIGH FREQUENCY CAPACITY. THESE ARE
APPLICABLE IN AUDIO EQUIPMENTS. WHEN COMPARED WITH
OTHER CORE INDICTORS THESE HAVE VERY LIMITED
APPLICATIONS.

GENERAL PHYSICS 2- STEM 02/06/2021


FERRITE CORE INDUCTOR
• FERRITE IS ALSO REFERRED AS FERROMAGNETIC MATERIAL. THEY EXHIBIT
MAGNETIC PROPERTIES. THEY CONSIST OF MIXED METAL OXIDE OF IRON AND
OTHER ELEMENTS TO FORM CRYSTALLINE STRUCTURES . THE GENERAL
COMPOSITION OF FERRITES IS XFE2O4. WHERE X REPRESENTS TRANSITION
MATERIALS. MOSTLY EASILY MAGNETIZED MATERIAL COMBINATIONS ARE USED
SUCH AS MANGANESE AND ZINC (MNZN), NICKEL AND ZINC (NIZN).
• FERRITES ARE MAINLY TWO TYPES THEY ARE SOFT FERRITES AND HARD FERRITES.
THESE ARE CLASSIFIED ACCORDING TO THE MAGNETIC COERCIVITY. COERCIVITY
IS THE MAGNETIC FIELD INTENSITY NEEDED TO DEMAGNETIZE THE
FERROMAGNETIC MATERIAL FROM COMPLETE SATURATION STATE TO ZERO.

GENERAL PHYSICS 2- STEM 02/06/2021


IRON POWDER INDUCTOR
• THESE ARE FORMED FROM VERY FINE PARTICLES WITH INSULATED PARTICLES OF HIGHLY
PURE IRON POWDER. THIS TYPE OF INDUCTOR CONTAINS NEARLY 100% IRON ONLY. IT GIVES
US A SOLID LOOKING CORE WHEN THIS IRON POWER IS COMPRESSED UNDER VERY HIGH
PRESSURE AND MIXED WITH A BINDER SUCH AS EPOXY OR PHENOLIC. BY THIS ACTION IRON
POWDER FORMS LIKE A MAGNETIC SOLID STRUCTURE WHICH CONSISTS OF DISTRIBUTED
AIR GAP.
• DUE TO THIS AIR GAP IT IS CAPABLE TO STORE HIGH MAGNETIC FLUX WHEN COMPARED WITH
THE FERRITE CORE. THIS CHARACTERISTIC ALLOWS A HIGHER DC CURRENT LEVEL TO FLOW
THROUGH THE INDUCTOR BEFORE INDUCTOR SATURATES. THIS LEADS TO REDUCE THE
PERMEABILITY OF THE CORE.
• MOSTLY THE INITIAL PERMEABILITY’S ARE BELOW 100 ONLY. THUS THESE INDUCTORS
POSSES WITH HIGH TEMPERATURE CO-EFFICIENT STABILITY. THESE ARE MAINLY APPLICABLE
IN SWITCHING POWER SUPPLIES.

GENERAL PHYSICS 2- STEM 02/06/2021


LAMINATED CORE INDUCTOR
• THESE CORE MATERIALS ARE FORMED BY ARRANGING MANY NUMBER OF
LAMINATIONS ON TOP OF EACH OTHER. THESE LAMINATIONS MAY BE MADE UP OF
DIFFERENT MATERIALS AND WITH DIFFERENT THICKNESSES. SO THIS
CONSTRUCTION HAS MORE FLEXIBILITY.THESE LAMINATIONS ARE MADE UP OF
STEEL WITH INSULATING MATERIAL BETWEEN THEM.
• THESE ARE ARRANGED PARALLEL TO THE FIELD TO AVOID EDDY CURRENT LOSSES
BETWEEN THE LAMINATIONS. THESE ARE USED IN LOW FREQUENCY DETECTORS.
THEY HAVE HIGH POWER LEVELS SO , THEY ARE MOSTLY USED AT POWER
FILTERING DEVICES FOR EXCITATION FREQUENCIES ABOVE SEVERAL KHZ.

GENERAL PHYSICS 2- STEM 02/06/2021


TOROIDAL INDUCTOR
• WIRE WOUNDED ON CORE WHICH HAS RING OR DONUT SHAPED SURFACE.
THESE ARE GENERALLY MADE UP OF DIFFERENT MATERIALS LIKE FERRITE,
POWDERED IRON AND TAPE WOUND ETC. THIS INDUCTOR HAS HIGH
COUPLING RESULTS BETWEEN WINDING AND EARLY SATURATION.
• ITS ARRANGEMENT GIVES MINIMUM LOSS IN MAGNETIC FLUX WHICH
HELPS TO AVOID COUPLING MAGNETIC FLUX WITH OTHER DEVICES. IT HAS
HIGH ENERGY TRANSFERRING EFFICIENCY AND HIGH INDUCTANCE VALUES
AT LOW FREQUENCY APPLICATIONS. THESE INDUCTORS MAINLY USED IN
MEDICAL DEVICES, SWITCHING REGULATORS, AIR CONDITIONERS,
REFRIGERATORS, TELECOMMUNICATIONS AND MUSICAL INSTRUMENTS
ETC.

GENERAL PHYSICS 2- STEM 02/06/2021

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