University Physics: Waves and Electricity

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Presentation transcript:

University Physics: Waves and Electricity Lecture 11 Ch27. Circuit Theory University Physics: Waves and Electricity Dr.-Ing. Erwin Sitompul http://zitompul.wordpress.com 2016

Homework 10 Find the equivalent resistance between points a and b in the circuit diagram below. Calculate the current in each resistor if a potential difference of 34 V is applied between points a and b.

Solution of Homework 10 (a) (b) ≡

Solution of Homework 10 c d ≡ c d

Example: Single-Loop Circuit For the circuit shown, determine Vab. a ® a, cw i a ® b, ccw Try again for i assumed to be ccw Assume a current direction Perform the calculation i > 0 means that the current flows in the assumed direction i < 0 means that the current flows in opposite direction

Voltage Divider and Current Divider

Req of Two Resistance in Parallel

Example: Finding Voltage and Current For this circuit, determine i1, i2, V1, and V2. ≡

Example: Two-Loop Circuit If E1 = 20 V, determine E2 and E3. 1 Loop 1, cw 2 Loop 2, cw Outer Loop, ccw

Multiloop Circuits Junction Rule: The sum of the currents entering any junction must be equal to the sum of the currents leaving that junction Remember again Loop Rule, Resistance Rule, and Emf Rule Our basic tools for solving complex circuits are the loop rule and the junction rule. Junction Rule, at d . . . . . . . . . .(1) Loop Rule, left-hand loop, b ® b, ccw . . . . . .(2) Loop Rule, right-hand loop, b ® b , ccw . . . . . .(3) Afterward, find the unknowns from these three equations

Example: Multiloop Circuits The value of the elements in the following circuits are: E1 = 3 V, E2 = 6 V, R1 = 2 Ω, R2 = 4 Ω Find the magnitude and direction of the current in each of the branches. Junction Rule, at a . . . . . . . . . .(1) Loop Rule, left-hand loop, a ® a, ccw Loop Rule, right-hand loop, a ® a , cw . . .(2) . . .(3)

Example: Multiloop Circuits . . . . . . .(1) Option B: Substitution Method . . .(2) From (2) . . .(3) . . . . . . . .(5) Insert (1) into (3), Insert (5) into (4) . . .(4) Option A: Elimination Method

Homework 11 For the circuit depicted below, determine the currents (i1, i2, i3) and the potential difference across the resistors (V1, V2, V3).

Homework 11A For the circuit depicted on the right side, determine the currents (i1, i2, i3) and the potential difference across the resistors (V1, V2, V3). For the circuit shown by the figure on the right, determine Vcb and i7.0 Ω.