ResistiveCircuitsSp03pp1

ResistiveCircuitsSp03pp1 - RESISTIVE CIRCUITS Here we...

This preview shows pages 1–8. Sign up to view the full content.

RESISTIVE CIRCUITS Here we introduce the basic concepts and laws that are fundamental to circuit analysis LEARNING GOALS OHM’S LAW - DEFINES THE SIMPLEST PASSIVE ELEMENT: THE RESISTOR KIRCHHOFF’S LAWS - THE FUNDAMENTAL CIRCUIT CONSERVATION LAWS- KIRCHHOFF CURRENT (KCL) AND KIRCHHOFF VOLTAGE (KVL) LEARN TO ANALYZE THE SIMPLEST CIRCUITS • SINGLE LOOP - THE VOLTAGE DIVIDER • SINGLE NODE-PAIR - THE CURRENT DIVIDER SERIES/PARALLEL RESISTOR COMBINATIONS - A TECHNIQUE TO REDUCE THE COMPLEXITY OF SOME CIRCUITS CIRCUITS WITH DEPENDENT SOURCES - (NOTHING VERY SPECIAL) WYE - DELTA TRANSFORMATION - A TECHNIQUE TO REDUCE COMMON RESISTOR CONNECTIONS THAT ARE NEITHER SERIES NOR PARALLEL

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
RESISTORS + ) ( t v ) ( t i A resistor is a passive element characterized by an algebraic relation between the voltage across its terminals and the current through it Resistor a for Model General )) ( ( ) ( t i F t v = A linear resistor obeys OHM’s Law ) ( ) ( t Ri t v = The constant, R, is called the resistance of the component and is measured in units of Ohm ) ( From a dimensional point of view Ohms is a derived unit of Volt/Amp ) 10 ( ) 10 ( 3 6 Ohm Kilo Ohm Mega Ohm of Multiples Standard k M k in resistance in resulting mA Volt is occurrence common A Conductance If instead of expressing voltage as a function of current one expresses current in terms of voltage, OHM’s law can be written v R i 1 = Since the equation is algebraic the time dependence can be omitted Gv i R G = = write and component the of e Conductanc as define We 1 The unit of conductance is Siemens
Some practical resistors Symbol

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
R + v i ation Represent Circuit Notice passive sign convention wo special resistor values Circuit Short Circuit Open = + 0 v 0 = i = = G R 0 0 = = G R Linear approximation Linear range Ohm’s Law is an approximation valid while voltages and currents remain in the Linear Range iR Ri v = = v i Actual v-I relationship “A touch of reality” Gv i = R R + v i + v i iR v = iR v =
OHM’S LAW PROBLEM SOLVING TIP Law s OHM' Gv i Ri v = = One equation and three variables. Given ANY two the third can be found Given current and resistance Find the voltage A I 2 = = 5 R = + ] [ 10 V V Notice use of passive sign convention Given Current and Voltage Find Resistance + ] [ 20 V ] [ 4 A I = I V R = = 5 R Given Voltage and Resistance Compute Current + ] [ 12 V = 3 R R V I = ] [ 4 A I = Determine direction of the current using passive sign convention Table 1 Keeping Units Straight Voltage Current Resistance Volts Amps Ohms Volts mA k mV A m mV mA RI V =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
UNITS? CONDUCTANCE IN SIEMENS, VOLTAGE IN VOLTS. HENCE CURRENT IN AMPERES ] [ 8 ) ( A t i = GIVEN VOLTAGE AND CONDUCTANCE REFERENCE DIRECTIONS SATISFY PASSIVE SIGN CONVENTION ) ( ) ( t Gv t i = OHM’S LAW + OHM’S LAW ) ( ) ( t Ri t v = ] [ 2 ) ( ) ( ) 2 ( ] [ 4 A t i t i V = = UNITS?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/01/2011 for the course EE 2120 taught by Professor Aravena during the Fall '08 term at LSU.

Page1 / 100

ResistiveCircuitsSp03pp1 - RESISTIVE CIRCUITS Here we...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online