Class 2: Circuit Analysis Techniques Activity 2 – KCL, KVL, Series and Parallel Resistors Dr. Mahmood A. Hameed ECSE Department Rensselaer Polytechnic Institute Intro to ECSE
Model of a Car Battery Lights ON and Engine OFF SWITCH open wire wire Battery headlight } + 12 V of I car / / - Resistor voltage Sr 8 ohms source 1- wire 2 September M. Hameed 2020
Ohm’s Law - i R V element directly proportional to the is voltage an across through current i . R u x a- Mr -0 UN ) e. R i v O = t ' .# A - - r ' i r n . R -_ mxtc y i ca ) D= mi to . . . - - i - = mi ' v . . ' ' . . 2 September M. Hameed 2020
What is so cool about resistors? quantities physical model various Resistors can . strain garages ( FSR ) Resistor Sensitive Force - ( LDR ) Resistor dependent Light ( Temperature ) Thermistor fan headlight bulb speaker of car Flashlight , , , appliances . 2 September M. Hameed 2020
What about power absorbed by resistors � Resistors are passive linear elements � They can only absorb power � Power relationships: watts ( w ) v. i P = z - i R V Vi - = - I R - R i ? R = 2 September M. Hameed 2020
Kirchoff’s Current Law (KCL) Charge Conservation of i. titis ist " - - a :* . 2 September M. Hameed 2020
Kirchoff’s Voltage Law (KVL) loop equal € in voltages Algebraic of sum a ¥7j÷÷ - a. tours " ' " . 2 September M. Hameed 2020
Resistors in Series RN Rs A R2 B R , Mro O - MMM ooo - electrical which Rit Rz + Rst + RN Raps quality the - . - is same = resistors all N for = E Ri here ? i=I CURRENT 2 September M. Hameed 2020
⇒ Resistors in Parallel OA + # = Rt t # t - * ÷ " { ¥ R , } Rz } { - - , RN Rs ¥y ÷ I " = RAB = (÷¥ RAB ops ② ③ VOLTAGES , RIKKI ¥72,2 same , Rst 122123 R , Rat R on R depends currents . 2 September M. Hameed 2020
Example 1: Circuit Analysis Find current through R2 and R3 in an = 8 V . "÷÷:÷÷ : '÷::÷i ' en ' in . + ÷ . Yz¥w¥} = ¥ RAB = Zr A ↳ B ÷3÷±¥=÷=z = III i. I 2A = - w oars - 2 September M. Hameed 2020
Example 2: Circuit Analysis Find current through R1 closed switch open Switch → * in , :÷÷÷÷÷÷::÷÷÷ . I r switch through d. Rz series . - Vez = = t2 x Rz R , -1122 2 September M. Hameed 2020
Activity 2: KCL, KVL, Series and Parallel Resistors � Go to the class website � Look under class 2 � Find activity 2 � Do the activity � Individual submission for activity 2 � Encouraged to discuss with others in the class on WebEx Teams � Answer the activity using template (attached class 2) � When complete – upload to Gradescope � Due Thursday, September 10 th at 11:59 pm � Use guides to learn how to upload documents 2 September M. Hameed 2020
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