AREN 3040 Problem 1-10 Points. +1 V1 3 V Circuits for AREN a) How many independent nodes are in this circuit? b) Use node-voltage (nodal) analysis to solve for the voltage drop across the 150 Ohm resistor. Show where you specified ground. ww 100 Ω Homework No. 4 (60 points) T+ 19 V2 3 V 150 Ω Spring 2024 ww 200 Ω 100 Ω AREN 3040 Problem 2 – 15 Points. 10 V Using node-voltage analysis, solve for the indicated unknowns in the following figures. Hints: In parts (a) and (b), note that kV, mA, and volts make a consistent set of units; in part (c), find Va, then Vio from the voltage divider. 3 ΚΩ 1 mA 100 V Circuits for AREN (a) 2 ΚΩ + v= ? 10 Ω 20 Ω 10 Ω 2 ΚΩ για + (c) 10 ΚΩ D Spring 2024 50 Ω 1 mA (b) 20 20 ΚΩ 4 mA + 40 ΚΩ 40 Ω 1 AREN 3040 Problem 3-10 Points. Solve for all branch currents in the circuit using mesh (loop-current) analysis. Problem 4 - 10 Points. Circuits for AREN 202 1 A 492 SV 3 Ω i = ? =+=+= 10 V Solve for the current referenced downward in the 20-Ohm resistor using mesh analysis. 20 Ω w 50 Ω Spring 2024 100 V 59 AREN 3040 Problem 5 - 5 Points. A 50 mH inductor has a current of is(t) = 0, t < 0, and is(t) = 150t³ A, t > 0. Calculate the voltage across the inductor, V₁(t), with the polarity shown in the figure. 4) is(t) Problem 6 - 10 Points. Circuits for AREN Vs S The capacitor in the following circuit has this voltage at the following time intervals: Vs(t) = 0, Vs(t) = 104t², Vs(t) = 100, t<0 0<t<0.1 s t> 0.1 s a) Find the current, ic(t). b) At what time is the energy in the capacitor 50 mJ? c) At what time is the power into the capacitor 1 Watt? +1 12 (1) L = 50 mH ic (t) Spring 2024 C = 20 µF