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INDUCTANCE CAPACITANCE AND MUTUAL INDUCTANCE. Prepared by : Ertuğrul Eriş Reference book : Electric Circuits , Nielsson , Riedel Pearson , Prentence Hall ,2007. Updated 1 : October 2011.
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INDUCTANCE CAPACITANCE AND MUTUAL INDUCTANCE Preparedby: Ertuğrul Eriş Referencebook: ElectricCircuits, Nielsson, Riedel Pearson, PrentenceHall,2007 Updated 1 : October 2011
IDEAL INDUCTANCE, CAPACITANCE, AND MUTUAL INDUCTANCE, ELEMENTS (SELF, KAPASİTE, ORTAK ENDÜKTANS ) • Inductance • Inductor (coil, bobin) • Changing current, moving charge • Magnetic field • Stores energy, passive element • Capacitor • Electrical conductors(iletken) are separated by dielectric material (insulating material, yalıtkan) • Changing voltage, separated charge • Electrical field • Stores energy, passive element • Serial, parallel inductances and capacitances • Mutual inductance (Ortak İndüktans ) • Magnetically coupled ınductors Modellingcoilsandcapacitorsby ideal elements Ertuğrul Eriş
IDEAL INDUCTOR(L, self, bobin) Inductance (L) unit:H, henry Derivative of the inductor current with respect to t, Integral of voltage; analog computers Ertuğrul Eriş
TYPICAL INDACTANCE VALUES/DIMENTIONS nH µH MH Ertuğrul Eriş
IDEAL INDUCTOR(L) Short circuit for DC current Current cannot change instantaneously, «Derivative» Voltage may change instantaneously, «Integral» Linear Element Passive Element Ertuğrul Eriş
EXAMPLE: V(t), I(t) VARIABLES FOR AN INDUCTOR What happens when a DC-current source being used? What happens when a AC-current source being used? frequency Ertuğrul Eriş
EXAMPLE: V(t), I(t) VARIABLES FOR AN INDUCTOR What happens when a DC-voltage source being used? What happens when a AC-voltaget source being used? frequency Ertuğrul Eriş
POWER AND ENERGY IN THE INDUCTOR Negative power!! interpretation. Ertuğrul Eriş
IDEAL CAPACITOR C:capacitance, unit: F, farad Derivative of the capacitor voltage with respect to t, Integral of current; analog computers Gerilime göre türev, akıma göre integral alıyor: Analog bilgisayar Ertuğrul Eriş
IDEAL CAPACITOR • Open circuit for DC current • Voltage cannot change instantaneously, «Derivative» • Current may change instantaneously, «Integral» • Linear Element • Passive Element Ertuğrul Eriş
TYPICAL CAPACITANCE VALUES/DIMENTIONS nF µF mF Ertuğrul Eriş
EXAMPLE: V(t), I(t) VARIABLES FOR AN CAPACITOR C=0,5μF What happens when a DC-voltage source being used? What happens when a AC-voltaget source being used? frequency Ertuğrul Eriş
EXAMPLE: V(t), I(t) VARIABLES FOR AN CAPACITOR C=0,2μF What happens when a DC-current source being used? What happens when a AC-current source being used? frequency Ertuğrul Eriş
SERIAL INDUCTORS Equivalent inductance, Leq Benefit(s)? Ertuğrul Eriş
PARALLEL INDUCTORS Equivalent inductance, Leq Benefit(s)? Ertuğrul Eriş
SERIAL CAPACITORS Equivalent capacitance, Ceq Benefit(s)? Ertuğrul Eriş
PARALLEL CAPACITORS Equivalent capacitance, Ceq Benefit(s)? Ertuğrul Eriş
MUTUAL INDUCTANCE ELEMENT(M) (Ortak induktans) • Definition relation, v-i relation Ertuğrul Eriş
MUTUAL INDUCTANCE ELEMENT(M) • Polarity of mutually induced voltage depends on the way the coils are wound in the relation to the reference direction of coil currents. • Dot convention • When the reference direction for a current enters to dotted terminal of a coil, the reference polarity of the voltage that it induces in the other coil is positive at its dotted terminal • OR • When the reference direction for a current leaves the dotted terminal of a coil, the reference polarity of the voltage that it induces in the other coil is negative at its dotted terminal Ertuğrul Eriş
MUTUAL INDUCTANCE ELEMENT(M) • Dot convention • When the reference direction for a current enters to dotted terminal of a coil, the reference polarity of the voltage that it induces in the other coil is positive at its dotted terminal Ertuğrul Eriş
EXAMPLE MUTUAL INDUCTOR İg=16-16 e-5t A; İ1=4+64 e-5t -68e-4t A; 12=1-52e-5t+51e-4t A Ertuğrul Eriş
IDEAL TRANSFORMER N2: number of winding for seconder coil N1: number of winding for sprimarycoil Ertuğrul Eriş
IDEAL CIRCUIT ELEMENTS SUMMARY + - + - + -
PROGRAM DESIGN DEPT, PROGRAM G R A D U A T E S T U D E N T STUDENT P R OG R A M O U T C O M E S PROGRAM OUTCOMES P R OG R A M O U T C O M E S STATE, ENTREPRENEUR FIELD QALIFICATIONS EU/NATIONAL QUALIFICATIONS KNOWLEDGE SKILLS COMPETENCES NEWCOMERSTUDENT ORIENTIATION GOVERNANCE Std. questionnaire ALUMNI, PARENTS ORIENTIATION STUDENT PROFILE Std. questionnaire FACULTY NGO STUDENT, ??? CIRCICULUM ??? INTRERNAL CONSTITUENT Std. questionnaire EXTRERNAL CONSTITUENT EXTRERNAL CONSTITUENT REQUIREMENTS EU/NATIONAL FIELD QUALIFICATIONS PROGRAM OUTCOMES QUESTIONNAIRES QUALITY IMP. TOOLS GOAL: NATIONAL/INTERNATIONAL ACCREDITION
BLOOM’S TAXONOMYANDERSON AND KRATHWOHL (2001) !!Listening !! Doesn’t exits in the original!!! http://www.learningandteaching.info/learning/bloomtax.htm Ertuğrul Eriş
ULUSAL LİSANS YETERLİLİKLER ÇERÇEVESİ BLOOMS TAXONOMY Ertuğrul Eriş
COURSE ASSESMENT MATRIX Ertuğrul Eriş
‘ABET’ ENGINEERING OUTCOMES Ertuğrul Eriş