Equivalent Definition and 1000 Threads

Homework Statement Just before reading, i am posting this as this question seemed way to easy to solve in my assignment, problems aren't usually this easy ! haha. I need to find V0, i originally just found the voltage at that node using KCL which was straight forward, but in my lecture notes...

Homework Statement Find the equivalent rezistance in the following (see the attachament) if the rezistance for all the resistor are R ? what is the resistance from AB, AC, AD?

I don't understand how I comes into play in the four equations. For example, in V = (I + I1)R, shouldn't it just be V = I1R? Or V = (I(component through bottom wire) + I1)R? Any help would be greatly appreciated. Thanks!

Homework Statement See attached image Homework Equations Thevenin's theorem Node voltage method? The Attempt at a Solution So if I want the current Io, I believe I need to treat the 1K resistor as an open circuit in finding the Thevenin equivalent. I think setting ground to be the bottom...

Homework Statement How would I go about determining the Thevenin equivalent of a simple circuit involving a battery and an LED? I suppose there could be a series resistor to prevent excess draw and burning out of the diode. This question seems very odd since LEDs by definition don't...

Homework Statement Find the thevenin equivalent circuit of the circuit to the left of the terminals AB. Circuit diagram is attacted below. Homework Equations The Attempt at a Solution I know that the thevenin resistance is 1kohm. I also know that the thevenin voltage is the voltage across...

This was on my physics exam today and I couldn't solve it. Switch (two red dots) was originally open, and when it was open, the capacitor is uncharged. Then the switch was closed, and they asked me to find the time constant of the charging process. I couldn't find the time constant because I...

Homework Statement (a) For the circuit above find the physical parameters of the Thevenin equivalent source with respect to terminals “a” and “b”. Assume that the resistances and reactances of the circuit are given at signal frequency 1 MHz. (b) Find the impedance of the matched load for that...

Homework Statement Work out the Thevenin Equivalent of this circuit: https://www.physicsforums.com/attachment.php?attachmentid=46120&stc=1&d=1334164751 The Attempt at a Solution I worked out the Rth to be 300Ω, not sure if this is correct, and then I have no idea how to work out Vth Any...

As seen from a and b. My teacher did the norton's equivalent in the class, and now for studying purposes i was trying to get to the Thévenin's one. However it seems my equations are somehow wrong, and i can't figure out why. The Eq resistance is 8||2, which is 1.6 ohms. I tried to apply...

let S: A ->B and T: B -> C be linear maps. Then TS : A -> B -> C. But am I right in thinking that the map T': Im(A) -> C is the same as TS? If this is wrong, can you explain why please :) Thanks very much in advance!

I’m a woodworker, a math idiot, my trig hasn’t improved since I flunked it 40 years ago and I need help making a Christmas toy for my grand-kids. The values that follow are arbitrary, were extracted using eng graphics software and should be solid. Problem: I have one 2D surface (that...

Homework Statement Okay. I thought I knew how to do these type of questions, but here goes. The node at a is attached to the positive terminal of a voltage source and c is attached to the negative. I'm completely bemused as to how to reduce this circuit into a single-resistor equivalent...

fractions -- showing that they are equivalent I have the fraction: a = c/d * b And from that I want to show that: a = c/(c+d) * (a+b) At least the two equations should be equivalent if I did everything right. How do I go from first to the second?

I've had the flu all week. Of course, the book defines unitary equivalent, but it doesn't talk about an efficient method of determining if two matrices are unitarily equivalent. Is there an efficient way to determine if these matrices are unitarily equivalent? \begin{bmatrix} 0 & 1 & 0\\...

In classical physics, the force on an object experiencing constant acceleration is equivalent to the "gravitational force" exerted on an object by a slab of material of uniform thickness and infinite lateral extent. The "gravitational field" is uniform above the slab, and the object's...

Homework Statement Find the equivalent resistance of the following circuit as seen from terminals a and b. Homework Equations For resistors in series we can sum their values; For resistors in parallel we use R_{eq} = 1 / (1/{R_1} + 1/{R_2} + ... 1/{R_n )} The Attempt at a Solution I don't...

Homework Statement How do i find the equivalent voltage source of... 1) Two AC voltage sources in series with same frequency and phase = ? 2) One AC voltage source in series with a DC voltage source = ? Homework Equations Equation of a AC voltage source as a function of time V(t)=V_m *...

Homework Statement The vector space of continuous functions on [0,1] is given the following metrics d_{∞} (f,g) = sup_{x\in [0,1]} |f(x)-g(x)| d_{2} (f,g) = (∫^{1}_{0} |f(x)-g(x)|^{2} dx)^{1/2} Are these two metrics equivalent? Homework Equations If d_{∞} and d_{2} are...

Homework Statement I'm having trouble distinguishing exactly which combinations are in parallel and which are in series. The fact that both ends of the circuit are open is throwing me off. Can someone walk me through this?

Hey, I'm trying to find the thevenin equivalent of a particular circuit so that I can calculate the current across an inductor. I've attached a pdf with the circuit and the working out I've done so far. When I'm talking about i0 I'm talking about the Thevenin equivalent current and...

Homework Statement Let X be a metric space and A a subset of X. Prove that the following are equivalent: i. A is dense in X ii. The only closed set containing A is X iii. The only open set disjoint from A is the empty set Homework Equations N/A The Attempt at a Solution I can...

Homework Statement Show that two metrics d_1,d_2 are equivalent iff for all epsilon>0, exists delta>0 such that B_(d_1)(x,epsilon) \subset B_(d_2)(x,delta) and vice versa (Where B_(d_1)(x, epsilon) is the open ball on the metric d_1 around x with radius epsilon. Homework Equations pretty...

Homework Statement i am able to derive out node B and node C, but got stuck at node E. Can somebody please help me out with it? Homework Equations node analysis The Attempt at a Solution i used microsoft to show you my steps as there are too many subscript.

The problem statement 7. In the circuit below, the resistor R3 models a light bulb. a) Use superposition to find iX. b) Find the Norton equivalent as seen by the independent current source, iS2. c) Find the power delivered by the independent current source, iS2, in the circuit below. Diagram...

Homework Statement Hey guys, Can someone please explain how the following circuits that I attached are equivalent? I'm not seeing that they are when I develop equations for the output Z. For the first one I get Z=Q1+Q2=(Q1'+Q2')+(XQ2')'=Q1'+Q2'+X'+Q2 For the second image I get...

Homework Statement Show that (p ∧ q) → r and (p → r) ∧ (q → r) are not logically equivalent. Homework Equations a → b = \nega v b The Attempt at a Solution I'm sorry. I'm completely stumped on how to go about this problem. I'm not asking for the solution since I want to know how...

[SIZE="3"]A density of 1.5 g cm-3 is equivalent to: a. 1500 g L-1 b. 150 g L-1 c. 1.5x10^-3 Kg L-1 d. 15 g L-1

Be \alpha and \beta two formulas of the propositional calculus, show that \alpha and \beta are logically equivalent if and only if ~\alpha and ~\beta are logically equivalent.

What is the probability that a number selected from 0-9 will be the same number as one randomly selected from 0-4? Relevant equations: $$P(A \cap B) = P(A)*P(B|A)$$ I used the equation above, using A as the event that the number selected from 0-9 will be between 0 and 4, and B as the event that...

Homework Statement Trying to find equivalent resistance between points a and b.Dont know whether to include resistances r5 and r6. Thanks Homework Equations The Attempt at a Solution Im not sure what to do with the resistances r5 and r6in the open circuits are they apart of...

I'm completely stumped. So is my high-school calculus teacher, but he hasn't done imaginary powers for forty-five years. Hopefully somebody can explain this... To clarify, I understand the reasoning between the following equation: e^{i x}=cos(x)+i sin(x) Now, I need to put some things...

I am writing up a physics lab where we essentially submerged a light-bulb in a styrofoam cup of water and then calculated the electrical energy using the equation P=IV and then multiplied P by ∆time. Then we calculated the thermal energy using the equation Q=mc∆T. I understand you can find the...

Homework Statement I'm trying to convert the 3-input AND gate shown below using only NAND gates...but am having troubles. Is it possible to use only 2 NANDS for the conversion? http://www.doctronics.co.uk/images/4081_03.gif

equivalent resistance of tricky circuits? Homework Statement what is the equivalent resistance between A and B? Homework Equations kirchoffs law for voltage and current The Attempt at a Solution i got the equivalent resistance between A to C as 3R/4 but i have to find the...

Homework Statement Find the equivalent resistance of the circuit as shown in the diagram below; where, R1 = 2 Ω, R2 = 1 Ω, R3 = 2 Ω, R4 = 1 Ω, R5 = 4 Ω, R6 = 4 Ω, and R7 = 4 Ω. http://i.imgur.com/OsAs2.gif Homework Equations The Attempt at a Solution R3 and R4 are in parallel...

Replace with equivalent force-couple system?? My book has one page on this and I do not understand what they want... Please see attached picture for problems.. First one, left side, says replace the 5KN force with an equivalent force-couple system at O. and The second one says to...

Homework Statement I'm just a bit stupefied at trying to prove a cardinality. I'm not sure I have the skills, but I would like to show that the cardinalities of R (the real numbers) and the interval on (0,1) are equivalent.--to be clear, the interval here is all real numbers between (0,1)...

Hello everyone, is the following an equivalent definition of the supremum of a set M, M subset of R? y=sup{M} if and only if given that y is an upper bound of M and x is any real number, y >= x implies there exists m in M so that m >=x. pf: Let x_n be a sequence approaching y from...

Been at this all day and cannot come up with an instance where in english sentences, If P then Q is equivalent to It is not the case that P or Q. Can anyone provides some hints.. I am really stuck. Thanks!

Homework Statement C1 = 1μC ; C2 = 2μC ; C3 = 3μC ; C4 = 4μC V = 12.0V If both switches are closed, what is the charge on C1? Homework Equations q = CV In parallel - V is constant across capacitors Cxy = Cx + Cy In series - q is constant across capacitors Cxy-1 = Cx-1 + Cy-1The Attempt...

Homework Statement Find the current flowing through the voltage source in mA. Assume Vs = 3.9 V and R = 8.3 kohm. Round off your answer to two decimal points. Homework Equations 1/R(equivalent) = 1/R1 + 1/R2 + ... I=V/R Kirchoff's voltage law The Attempt at a Solution I considered the 3...

Homework Statement The forces shown in the Figure below form a couple. Replace the couple shown with an equivalent couple acting at points A and B. Please see figure Homework Equations Couple force moment equation is M = Fd (take only one of the two force vectors and distance between...

A metric space of equivalent Cauchy sequence classes (Z, rho) is defined using a metric of the sequence elements in the space (X,d), where d is from XX to R (real numbers). The metric of the sequence classes is rho = lim d(S, T), where S and T are the elements of the respective sequences. To...

Are both sensible (equivalent? contradictory?) interpretations of "Poisson" behavior? I've come across two quite distinct notions (or so it seems to me, anyway) of Poisson behavior and I'm not sure if they're equally sensible or perhaps even equivalent. I'll apply both "views" to the same case...

Homework Statement http://i134.photobucket.com/albums/q100/megajette2/Resistornetwork.png Homework Equations parallel resistors share the same nodes or terminals and simplify to (a*b)/(a+b). in series resistors values are added. The Attempt at a Solution...

Actually,. What is optical equivalent path.,.? Is this and optical path length are same,.,.,??

A strain-gauge bridge is made up of four resistive elements, each element having an unstrained resistance equal to R, as shown in the diagram below. When a strain is applied to the bridge elements R2 and R4 increase in resistance by an amount ΔR, whereas R1 and R3 decrease by ΔR, where...

If a rail gun works by having an object that moves along a path, where either side has opposite charge, could that same principle be applied in air? I am not talking about an ion thruster, that already exists. I am saying, if wasting energy was not an issue, could it be possible to charge the...

Homework Statement Replace the force for by the equivalent of two forces parallel at the dot and the other perpendicular to the beam. The force P is 2000 N Determine the forces!Homework Equations Fx= P*cos(x) = Fy= P*sin(x) = The Attempt at a Solution Fx= 2000 N* cos(75)= 0.517 kN Fy=...