# A a drop drop drop b gain gain gain c drop gain gain b

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Unformatted text preview: rrent through each resistor is indicated by black arrows. If we are to write Kirchoff's voltage equation for this loop in the clockwise direction starting from point a, what is the correct order of voltage gains/drops that we will encounter for resistors R1, R2 and R3? A A. drop, drop, drop B. gain, gain, gain C. drop, gain, gain B gain, drop, drop D. E. drop, drop, gain C D “going with current is drop, against current is gain” E “The voltage gains when the current is flowing with the voltage” “drops 2 times at the split then gains when merging” Physics 212 Lecture 10, Slide 12 Physics 212 Lecture 10, Slide Checkpoint 2 GAIN In the following circuit, consider the loop abc. The direction of the current through each resistor is indicated by black arrows. DROP N AI G If we are to write Kirchoff's voltage equation for this loop in the clockwise direction starting from point a, what is the correct order of voltage gains/drops that we will encounter for resistors R1, R2 and R3? A A. drop, drop, drop B. gain, gain, gain C. drop, gain, gain B gain, drop, drop D. E. drop, drop, gain C D E With the current VOLTAGE DROP Against the current VOLTAGE GAIN Physics 212 Lecture 10, Slide 13 Physics 212 Lecture 10, Slide 1Ω 2Ω 1V Calculation 2V 1Ω I2 In this circuit, assume Vi and Ri are known. 1V What is I2 ?? • Conceptual Analysis: – Circuit behavior described by Kirchhoff’s Rules: • KVR: ΣVdrops = 0 • KCR: ΣIin = ΣIout •Strategic Analysis – – – Write down Loop Equations (KVR) Write down Node Equations (KCR) Solve Physics 212 Lecture 10, Slide 14 Physics 212 Lecture 10, Slide V1 R1 ++ - V2 R2 -+ + R3 - - ++ - V3 - I1 Calculation I2 In this circuit, assume Vi and Ri are known. I3 What is I2 ?? (1) Label and pick directions for each current (2) Label the + and – side of each element This is easy for batteries For resistors, the “upstream” side is + Now write down loop and node equations Physics 212 Lecture 10, Slide 15 Physics 212 Lecture 10, Slide V1 R1 ++ - V2 R2 -+ + R3 - - ++ - V3 I1 I2 I3 - Calculation In this c...
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