Nodal Definition and 224 Threads

$\text{Let } L_{n,i}, i = 0,...,n, \text{be the Lagrange nodal basis at} x_0 < x_1<...<x_n$. Show that, for any polynomial $q \in P_n$ $$\sum_{i=0}^nq(x_i)L_{n,i}(x)= q(x)$$ I don't know how to begin this proof. I know what a lagrange polynomial is, but I am not sure how to begin. If someone...

Homework Statement Find Voc Homework EquationsThe Attempt at a Solution This is what I have: (VA-9)/5 +VA/5 + 1.8 = 0 VA=0 -1.8 + VB/(60+10) +(VB-9)/20 VB=35 What I'm confused about is why you combine the 60 ohm and 10 ohm resistors for the VB nodal equation, but not the 25 ohm and 10 ohm...

Homework Statement *Posted in the Screenshot* Homework Equations *Posted in the uploaded attachment* The Attempt at a Solution *Posted in the uploaded attachment*Hi all. Our lecturer gave us the question as part of an assignment but I'm not to sure if my approach and answer is correct. I...

I've been assigned the following problem for homework in my Electrical Engineering class: *Note, the duplicate v2 is supposed to be v3. But I keep getting v1 = 4.10V v2 = 4.81V v3 = -1.19V and i0 = 52.9mA Every simulator I've put this into says it's wrong, yet I've attempted solving it...

Homework Statement Using nodal analisis we need obtain the differential equation 2. The attempt at a solution For I1 and take the point under C as reference, but i am stuck on it

why there is a nodal surface in 2s suubshell ?

How many nodal lines are created by two point sources emitting at the same wavelength that are separated by a distance equal to 4.5*lambda? I used the equation 2(d/lambda) which in this case equals 9, but I've been told this is incorrect. Where have I gone wrong?

Homework Statement Here is the homework problem I was given: The Attempt at a Solution Above is the work that I began, however, I have an overwhelming feeling that I am incorrect and also I don't know how to continue to the next part/parts. Would someone please help me? Thank you H

I know that when we have to identify the nodes for solving a circuit with nodal analysis we always have to designate a reference node (which will be the ground node) as a reference for measuring the others' voltages. However I was practicing this and I found this example on...

Good evening people. Recently I started taking the "electric network analysis" course in my school. We already saw the mesh analysis method for solving circuits. Now we are seeing the node analysis method. I understand that the first step for this method is finding the number of nodes (and one...

Homework Statement Here is the circuit. I have to solve for V Thevenin I am having trouble figuring out what I am doing wrong here. I need to solve for Vth and I do, but it does not match with what my TA posted as the solution. [/B] Homework Equations The equations I set up are the same as...

Homework Statement Determine using nodal analysis the current in branch Z4 Homework Equations [/B]The Attempt at a Solution [/B] Not sure how to handle the source v3 my solution so far has came up with answers that are not the same as the answers that I got for mesh analysis. Node A...

Homework Statement The diagram above shows a single slit with lines marking the direction to a point P in the diffraction pattern. Two wavelets at x and y pass through the edges of the slit as shown. The possible value for path difference, py-px, that places P at the second nodal line next to...

Homework Statement [/B] The photo included provides the problem but the professor stated that the right side source is supposed to be 100t and not 80t. The problem wasn't printed correctly in the book so I assume the solution wasn't either. The solution via the book is v1=2.56cos(100t+139.2°)...

Homework Statement I'm having trouble understanding how you are supposed to decide which nodal and antinodal line numbers are supposed to be attached to the corresponding line. Homework Equations https://roncalliphysics.wikispaces.com/Year+13+Double+Slit+Interference I've read this and...

Homework Statement Homework Equations V=IR Kirchoffs Current Law The Attempt at a Solution I picked the middle node (the one surrounded by 3 resistors) as my reference. V1 and V2 are my other two nodes. I'm also assuming that V1>V2, V1<reference Using Kirchoffs Current Law: (Node 1)...

Random question about waves like this as they pertain to |a-b| = λ(n - ½). Is the middle nodal line = 1, since it is 2 over, would Pn = 3 in this image. If that is not right, the middle nodal line must = 0, and therefore Pn = 2. I don't think this is true because I remember reading the...

hello! I have some difficulty in nodal analysis I want to know basically how to apply KCL and Ohm's Law to find the equations few branches meet in a node I know that KCL means that sum of currents that enter are equal to the sum of currents are leaving the node the problem is that I may not...

Homework Statement Given this circuit, find i. Homework Equations Nodal analysis, Ohm's law other basic EE equations. The Attempt at a Solution The stuff in blue is given in the problem. The red is my attempt at a solution. So first off a general question that I have is, when I'm doing...

Homework Statement Homework Equations KCL: Σi = 0 KVL: Σv = 0 The Attempt at a Solution Using KCL: 15 = (v1)/8 + (v2)/4 Using KVL: (v1) - (v2) = (I2)R + 10 (v1) - (v2) = (I2)2 + 10 (I2) = (v1)/8 (v1) - (v2) = (2)((v1)/8) + 10 (v1) - (v2) = (v1)/4 + 10 Now there are two variables and...

Homework Statement We have the circuit in the figure.I have to find the current i using nodal analysis Homework Equations 1/6 F =-3j 1/2 F= -j 1/2 H= j The Attempt at a Solution So we have the equations Node V1 : [(7-V1)/(4-3j) ]=[ V1/3 ]+ [(V1-V)/-j] Node V : [(V1-V)/-j] =(V )+ (V/j) In...

Homework Statement Determine, using the values given in TABLE A, the current I in the circuit of FIGURE 2 by: (a) mesh analysis (b) nodal analysis. Any help verify for part (a)? And to help me get started with (b) as V3 is driving me nuts. Homework EquationsThe Attempt at a Solution For (a)...

Homework Statement Please see a picture Homework Equations KVL The Attempt at a Solution V1-I1Z1-(I1-I2)Z4=0 Z2(I2-I4)+Z5(I2-I3)-(I2-I1)Z4=0 Z3I3+V2+Z5(I3-I2)=0 V3+Z2(I2-I4)=0 Any clues are appreciated..

Homework Statement We have the circuit in the figure.I have to find v using nodal analysis only. Homework Equations Converted 1/6 F to -3j and 2sin2t to -2j. The Attempt at a Solution In node v1 we have the equation 6= -12+ [v1/2] + [( v1-v)/1] In node v we have the equation 2j+ [(v1-v)/1]=...

Homework Statement How many nodal lines are created by two point sources emitting at the same wavelength that are separated by a distance equal to 2.5 lamda? Homework Equations My textbook says, "If two coherent sources located a distance d apart emit identical waves of wavelength lamda, then...

Homework Statement Answer the following questions about the given circuit. These questions will walk you through the steps of the analysis process we call nodal analysis, which is applicable to all electric circuits. 2.1 (3 pts) A quick Fermi-type problem before we start. Use Ohm’s Law to...

Homework Statement http://learn.lboro.ac.uk/file.php/1844/Quiz_figures/Chins_Files/Q11.jpg In the above circuit V1=17 Volts V2=8.5 Volts V3=4.25 Volts I1= 4 Amps I2= 5 Amps R1=4.25 Ohms R3=6.375 Ohms R4=1.0625 Ohms R5=2.125 Ohms R6=2.125 Ohms Calculate the following: a) Magnitude of...

Homework Statement Find V0 and i0 of the circuit. Homework Equations KCL The Attempt at a Solution I tried multiple times and never got the right answer. -------------- Hello, I am having trouble solving a problem. I will link a picture of the problem with answers, but it just seems I can't...

Homework Statement Find V1 and V2 by Nodal Analysis Homework EquationsThe Attempt at a Solution In order to find V1 and V2, I will have to define voltages at node 1 and node 2 as Vx and Vy, so that when I apply KCL at node 1, I will get: (Vx-240)/3 + (Vx-Vy)/6 + 10=0 While there is a 30...

Homework Statement Use nodal analysis to find ##V_o##. Homework Equations ##\sum I = 0## ##I = V/R## The Attempt at a Solution So the book started throwing voltage sources into nodal analysis and I'm a bit unsure about this problem. The answer is listed as ##V_o = 3.89 V##. All they...

Hi , I'm currently stuck on a problem that requires to be solved with nodal analysis. I'm confused to what signs should I use when there's a voltage source in the loop. The problem: I already know the answer from the solutions but what I found is at V_0 : (V0 - 60V)/12 + V0/12 + (V0...

Hi, V1 for this problem is 400mA and no matter how I work this problem I cannot get the correct answer. V2=V1+6 For the second equation, I don't know what to do with 14V. I've tried subtracting it from V1 divided by the 4 ohm resister, most logical, and that doesn't work. I've tried multiple...

Okay, so I'm working linearly through Fundamentals of Electric Circuits and this is a practice problem. Homework Statement Obtain the node voltages in the circuit. http://i2.minus.com/iJPUlZbuy0mLa.jpg The answer is -6 volts for node 1 and -42 volts for node 2. (Which I checked in a...

Homework Statement https://courses.edx.org/static/content-mit-802x~2013_Spring/html/ps3_p3_fig1_a.png $$ R_1 = 7 \Omega \quad R_2 = 49 \Omega \quad R_3 = 52 \Omega \quad R_4 = 91 \Omega \quad R_5 = 101 \Omega $$ $$ V_1 = 5V \quad V_2 = 39V \quad V_3 = 44V$$ Homework Equations $$ I =...

Hello, I am having some difficulty solving this problem and I have doubts regarding my expression with the supernode. Basically, I said that current is negative if the current in my first KCL equation in the first term V1 - vs / ZL1 Here is my attempt And here is a photo to part B that I will...

Homework Statement I have to find the Thevinin Equivalent for the following circuit. I am assuming the current is going out of the node. V= node between inductor and capacitor V0 = V[40/(40-150j)] (V-75)/(600+150j) + (-0.02V0) + V/(40-150j) = 0 The only problem I have is with the last...

Two EE questions -- nodal analysis and circuit modeling Homework Statement Homework Equations I was given R1, R2, and Iα(t), the time for the switch to closed (50μs<=t<=100μs) The question is asking about the energy associated with 2 sources and dissipated in R1, R2.The Attempt at a...

Homework Statement Apply nodal analysis in the phasor domain to determine ix(t) in the circuit below. Homework Equations The Attempt at a Solution This is super confusing to calculate in the phasor domain, I was just wondering if anyone could check my calculations and see if they...

I tried solving the following circuit using nodal analysis, but the answer I've got is wrong. Can you tell me please which one of these 3 equation is wrong? Thank you!

Homework Statement Hi! "Write an equation for I1." Here is the circuit: That is the question. I suppose one could do this many ways but I've decided to do it with nodal analysis. The problem here is that we only got an ideal current source. I have actually no clue. So, I'd try to...

I am having a little issue with this problem, because when I do nodal analysis, I get the voltage of the node above the 5 kΩ resistor to be nearly 15 V. I am assuming all of the capacitors are saturated, and therefore act as open circuits. That means no current goes through the 20k or 30k...

Homework Statement Homework Equations KVL and KCL The Attempt at a Solution Let V = V1 and the Voltage across the 2 ohm resistor be V2 just for reference. Step 1: KCL @ Supernode: V1/3 + V2/2 + 21/4 + V3/6 = 0 I think my problem is here somewhere. Does V3 = V2 because...

Homework Statement The temperature response of a fin is to be approximated using the finite difference method. The fin is 3 cm long and has a square cross-section that is 5 mm on a side. The fin is aluminum, with thermal properties ρ=2700 kg/m3, k=200 W/(m-K), and c=900 J/(kg-K). The fin...

How do I find the voltage at the node with the red dot using nodal analysis? The 2Ix voltage source to the left of the node with the red dot makes it confusing for me... Thanks

So the voltage across the R2 resistor is given as vT-0 = vT But then the voltage across the R1 resistor is given as "vT-Vs1" I'm not sure which two nodes the voltage across R2 involves. Is it the same as R1? Also, I am not sure of the voltage source vs1. Across which two points does it apply?

I understand their method. However, if you use the node to the left of the 2 ohm resistor (the node where the voltage = 75 V) then you get: (75-Vx)/2 -10 = 0 so 75-Vx = 20 so Vx - 75 = -20 Vx = 55 V But this is not 25 V as it should be? When doing nodal analysis, do you have to...

Homework Statement Find Vx. http://imageshack.com/a/img853/3093/ssdr.png Homework Equations NONE The Attempt at a Solution I just need one more equation so far I have: 1. V1 = 4v 2. V3 = 2Vx 3. (V1-V2)/2 = V2-V3+V2

At high school we were taught basic circuit formulas such as V=IR, P=IV etc but now I am studying circuits in Engineering (at university) we have been introduced to the techniques of nodal and mesh analysis. My question is, when and why do we use these techniques rather than the...

Homework Statement Homework Equations impedance equations for capacitors and inductors The Attempt at a Solution I thought something like that might do and then just do a matrix and solve for Va, but I am having second thoughts seems like I am over doing it.

Hi, I'm trying to model a simple hydraulic system using python programming language and have difficulty with math. It's basically 3 tanks interconnected with pipes (see attached picture). Tanks are filled with some kind of fluid and are under different pressures (initial pressures P1, P2...