ECE3710AB_Worksheet_LC1_W2_C1

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Fall 2022 | ECE3710 – Sections A and B GTA: Daniel Canales Page 1 of 3 Worksheet LC1 | W2 | C1 Directions: Solve the following problems. P1 ሻ Consider the circuits shown in Figure P 3.3-2. ሺ a ሻ Determine the value of the resistance 𝑅 in Figure P 3.3-2b that makes the circuit in Figure P 3.3-2b equivalent to the circuit in Figure P 3.3-2a. ሺ b ሻ Determine the current 𝑖 in Figure P 3.3-2b. Because the circuits are equivalent, the current 𝑖 in Figure P 3.3-2a is equal to the current 𝑖 in Figure P 3.3-2b. P2 ሻ Consider the circuits shown in Figure P 3.4-2. ሺ a ሻ Determine the value of the resistance 𝑅 in Figure P 3.4-2b that makes the circuit in Figure P 3.4-2b equivalent to the circuit in Figure P 3.4-2a. ሺ b ሻ Determine the voltage 𝑣 in Figure P 3.4-2b. Because the circuits are equivalent, the voltage 𝑣 in Figure P 3.4-2a is equal to the voltage 𝑣 in Figure P 3.4-2b.

Fall 2022 | ECE3710 – Sections A and B GTA: Daniel Canales Page 2 of 3 P3 ሻ The circuit shown in Figure P 3.6-1a has been divided into two parts. In Figure P 3.6-1b, the right-hand part has been replaced with an equivalent circuit. The left-hand part of the circuit has not been changed. ሺ a ሻ Determine the value of the resistance 𝑅 in Figure P 3.6-1b that makes the circuit in Figure P 3.6-1b equivalent to the circuit in Figure P 3.6-1a. ሺ b ሻ Find the current 𝑖 and the voltage 𝑣 shown in Figure P 3.6-1b. Because of the equivalence, the current 𝑖 and the voltage 𝑣 shown in Figure P 3.6-1a are equal to the current 𝑖 and the voltage 𝑣 shown in Figure P 3.6-1b. ሺ c ሻ Find the current 𝑖 ଶ , shown in Figure P 3.6-1a, using current division. P4 ሻ Consider the circuit below ሺ from Summer 2016 Exam 1 ሻ a. Determine the number of mesh currents in the circuit. b. Determine the equations and values of the mesh currents. c. Using the values of the mesh current ሺ s ሻ , determine the value of V3.

Fall 2022 | ECE3710 – Sections A and B GTA: Daniel Canales Page 3 of 3 P5 ሻ Assume V1 ൌ 10V, R1 ൌ 10 Ω , R2 ൌ 4 Ω , R3 ൌ 6 Ω , and V2 ൌ 20V for the circuit shown below ሺ from Fall 2021 Exam 1 ሻ . a. How many unknown node voltages are there in this circuit? b. What is the node equation at node X ሺ located at the top of R 3 ሻ ? c. Determine the value of voltage Vx. d. Determine the value of the current flowing through resistor R3, Ix.

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