Physics investigatory project 2023-24 NAME : TEJAS JAIN Class : XII-A TOPIC To study the factors on which self inductance of cell depends by observing the effect of coil when put in series with a resistor(bulb) in a circuit fed up by an A.C. source of adjustable frequency Submitted to:- Mr. Arvind aarya Submitted by :- Tejas jain
S.NO NAME PAGE NO. REMARKS 1. Certificate 2. Acknowledgement 3. Aim of project 4. Theory 5. Procedure 6. Observation 7. Result 8. Sources of errors 9. Precautions 10. Bibliography
CERTIFICATE This is to certify that _________________________ a student of class __________ has successfully completed the research on the topic “To study the factors on which self inductance of cell depends by observing the effect of coil when put in series with a resistor(bulb) in a circuit fed up by an A.C. source of adjustable frequency” under the guidance of __________________ during the year 2023-24 in partial fulfillment of physics practical examination of Central B oard of Secondary E ducation(CBSE). ________________ __________________ principal subject teacher Presentation title 3
ACKNOWLEDGEMENT I warmly acknowledge the continuous encouragement offered by out principal __________________. I extend my heartly thanks for giving me the opportunity to make use of the facilities around the school campus to carry out the project. I am highly indebted to __________________ for the constand supervision,help and providing information in the project.i would like to express my gratitude towars him. I am making this project for my knowledge
AIM 5 To study the factors on which self inductance of cell depends by observing the effect of coil when put in series with a resistor(bulb) in a circuit fed up by an A.C. source of adjustable frequency
SELF INDUCTANCE “ Self-inductance is the property of the current-carrying coil that resists or opposes the change of current flowing through it. This occurs mainly due to the self-induced emf produced in the coil itself. In simple terms, we can say that self-inductance is a phenomenon where there is the induction of a voltage in a current-carrying wire ” 6
When an electric current is passed through an insulated conducting coil, it give rise to a magnetic field in the coil so that the coil itself behaves like a magnet 7 The magnetic flux produced by the current in the coil is linked with the coil
DEFINATION As the strength of the coil of the current in the coil is changed,the flux linked with the coil also changes.Under such circumstances an emf is induced in the coil too. Such emf is called self induced emf and this phenomenon is called SELF INDUCTANCE
Hence, the self inductance depends upon: 1. No. of turns (N), Lα N² 2. Geometry of coil, Lα A, L α(1/l) 3. Nature of core material, Lα µ When an inductor is connected in series with a resistor (bulb) with a variable source of frequency , then current flowing in the bulb is Irms = Erms /Z Where , Z = √ R2 + ω2 = Impedance of the a.c . circuit. Here R = Resistance of the bulb L = Self inductance of coil ω = 2πf = Angular frequency of a.c . source
11 If the number of turn in a coil is N and the flux linked with each turn is, then the total flux linked through the coil = No. In this case, the total flux linked with the coil (which is called flux linkage) is directly proportional to the current I flowing through the coil.
Where the constant of proportionality L is called the self inductance of coil N ϕ = LI ; L = N ϕ / I The self inductance L is measure of flux linked with the coil per unit current
Form equation e = -L dI / dt Self inductance L = -e/( dI / dt ) " The self-induced emf produced per unit rate of change of current in the circuits called self-inductance of the circuit ." Unit of L unit of emf (v)/Unit of rate of change of current (A/s)=Vs/A or Henry(H)