270 likes | 628 Views
Ohm's Law (2.1) Kirchhoff's Laws (2.2). Prof. Phillips January 24, 2003. Resistors. A resistor is a circuit element that dissipates electrical energy (usually as heat)
E N D
Ohm's Law (2.1)Kirchhoff's Laws (2.2) Prof. Phillips January 24, 2003 lecture2
Resistors • A resistor is a circuit element that dissipates electrical energy (usually as heat) • Real-world devices that are modeled by resistors: incandescent light bulbs, heating elements (stoves, heaters, etc.), long wires • Resistance is measured in Ohms (W) lecture2
i(t) + The Rest of the Circuit R v(t) – Ohm’s Law • v(t) = i(t) R - or - V = I R • p(t) = i(t)v(t) = i2(t) R = v2(t)/R • Always dissipating or absorbing power (p>0) lecture2
Example: a 25W Bulb • If the voltage across a 25W bulb is 120V, what is its resistance? R = V2/P = (120V)2/25W = 576 • What is the current flowing through the 25W bulb? I = V/R = 120V/576 = 0.208 A = 208 mA lecture2
Thought Question • When I measured the resistance of a 25W bulb, I got a value of about 40W. What’s wrong here? • Answer: The resistance of a wire increases as the temperature increases. For tungsten, the temperature coefficient of resistivity is 4.5x10-3/oK. A light bulb operates at about 5000oF. lecture2
i(t)=0 + The Rest of the Circuit v(t) – Open Circuit • What if R=? • i(t) = v(t)/R = 0 lecture2
i(t) + The Rest of the Circuit v(t)=0 – Short Circuit • What if R=0? • v(t) = i(t) R = 0 lecture2
Class Example lecture2
Kirchhoff’s Laws • Kirchhoff’s Current Law (KCL) • sum of all currents entering a node is zero • sum of currents entering node is equal to sum of currents leaving node • Kirchhoff’s Voltage Law (KVL) • sum of voltage (drops) around any loop in a circuit is zero lecture2
KCL (Kirchhoff’s Current Law) i1(t) i5(t) The sum of currents entering the node is zero: Analogy: mass flow at pipe junction i2(t) i4(t) i3(t) lecture2
Class Examples lecture2
KVL (Kirchhoff’s Voltage Law) + – • The sum of voltages around a loop is zero: • Analogy: pressure drop thru pipe loop + v2(t) + – v1(t) v3(t) – lecture2
KVL Polarity • A loop is any closed path through a circuit in which no node is encountered more than once • Voltage Polarity Convention • A voltage encountered + to - is positive • A voltage encountered - to + is negative lecture2
Class Examples lecture2
Electrical Analogies (Physical) lecture2
EE Subdisciplines • Communication/Signal Processing • Controls • Electronic Circuits • Electromagnetics • Power • Solid State lecture2
Power • Generation of electrical energy • Storage of electrical energy • Distribution of electrical energy • Rotating machinery-generators, motors lecture2
Electromagnetics • Propagation of electromagnetic energy • Antennas • Very high frequency signals • Fiber optics lecture2
Communications/Signal Proc. • Transmission of information electrically and optically • Modification of signals • enhancement • compression • noise reduction • filtering lecture2
Controls • Changing system inputs to obtain desired outputs • Feedback • Stability lecture2
Solid State • Devices • Transistors • Diodes (LEDs, Laser diodes) • Photodetectors • Miniaturization of electrical devices • Integration of many devices on a single chip lecture2
Digital • Digital (ones and zeros) signals and hardware • Computer architectures • Embedded computer systems • Microprocessors • Microcontrollers • DSP chips lecture2
Personal Systems Scaling lecture2