Equivalent Definition and 1000 Threads

Question: I was just wondering if there was any error in what I've done in the following steps to find the series representation of ##lnx##. I know ## \frac {1}{x}## is given in the following link by doing having the a function centred at 0, you can let ##f(x) = ∑^∞_{n=0} \frac...

Homework Statement Reduce the circuit below into a single equivalent capacitor at terminals a,b. Assume all initial voltages at t = 0 are zero. Homework Equations The Attempt at a Solution Okay, this is the circuit I had in mind when I made this thread earlier...

Hello, I had read in my textbook that when a dependent source is in a circuit, and you wish to find the thévenin resistance, then the method to solve for the thevenin resistance is to turn off the independent sources and add an external voltage, then find the external current. The external...

Hello, For thévenin equivalent circuits, I thought current sources are replaced with open circuits and voltage sources are replaced with short circuits. In this video, the guy replaces both with open circuits, so I am not understanding how that works. Because of all the different...

F(x) = (x^2 - x)/(x-1) G(x)= x I factored x^2-x and canceled denominator of f(x) which simplify to x So it does equal x does not now matter that in original equation x cannot = 1 otherwise denominator = 0 I'm just making sure they are = and but maybe not equivalent. Trying to learn more of...

The amplifier and filter of FIGURE 4 can be represented by the equivalent circuit of FIGURE 6. (Figs are in image 1 and 2 attached) (i) Draw the Laplace equivalent circuit and hence derive the equation for vout(s) in terms of R, L and C for a step input. (ii) Attempt, using the component...

Homework Statement Find the Thevenin equivalent circuit at terminals (a,b) of the circuit below: Homework Equations The Attempt at a Solution my currents aren't adding up right. When I try to solve for Ix using my two equations that should find it, I get different answers.

Homework Statement Find the Thevenin equivalent circuit at terminals (a,b) for the circuit below. Homework Equations The Attempt at a Solution I am having a conceptual issue for this circuit. I can't combine any of the resistors, and my gut is telling me that something about the...

Just wondering if its ok to re-draw this http://postimg.org/image/a074v6cor/ as this http://postimg.org/image/uvtf6f8vv/ ?

Homework Statement Problem located in attachment.Homework Equations Parallel, series and wheatstone bridge equations for resistorsThe Attempt at a Solution Converted the circuit to look less confusing. Work shown in other attachment. I am simply using the equations relating to simplifying...

Homework Statement Assume λ≠0. Also bypass capacitor is very large compared to coupling capacitor. a.) Draw the low frequency small signal equivalent and derive lower 3dB frequency formula. b.) Assuming transistor high frequency capacitances, draw the high frequency small signal equivalent and...

Homework Statement For this problem (pic attached) I did the open circuit calculations and found V1 (6v) and V2 (4v) and I know they are correct. However I am not sure if my Voc and Isc (open circuit voltage and short circuit current) calculations are correct. The Attempt at a Solution...

Capacitance -- combining multiple capacitors for equivalent C In the given problem, Ceq = C1C2C3C4/(C1 + C2 + C3 + C4) The answer says the equivalent capacitance is always less than C1 but I can't come up with thy. When I do this, I can't seem to prove that equivalent capacitance is always...

Hello guys, My teacher gave me a question regarding calculation of equivalent resistance, trying to solve which I'm losing my sanity. I feel a bit ashamed because this is my first post and I'm using it to ask a doubt, a little selfish of me. But it's kind of urgent so I don't really have a...

Homework Statement http://postimg.org/image/5wtty6dvr/ I'm trying to find the Thevenin equivalent of the circuit on the left side and but having trouble in getting the open circuit voltage. Does no current flow through R3 since that way leads to a dead end?

Homework Statement Determine the equivalent resistance Req as seen by the voltage source VS (the resistance between a and b) http://i.imgur.com/A1ueQnd.jpg Homework Equations Series-Parallel combinations The Attempt at a Solution http://i.imgur.com/K1ItpF0.jpg The only...

I'm trying to find the equivalent resistance of this circuit but I don't know where to start. The solution manual says that the 5 and 20 ohm resistors are in parallel as well as the 6 and 3 ohm resistors. Can someone explain why?

Hi everyone, this my first post in here. Anyway, this is a solved problem, but I can't get the answer :S Homework Statement Homework Equations * Series-Parallel combination (RT=R1+R2+R3...+Rn for series, 1/RT=1/R1+1/R2+1/R3...+1/Rn for parallel) * WYE (TEE) - DELTA (PI)...

Homework Statement http://imgur.com/w5AQ1A8 As shown in the image: In the circuit below R1=100Ω, R2=1000Ω, R3=99Ω, R4=1000Ω, R5=10Ω, and V=10V. (a) Relying on the Thevenin theorem, find the equivalent voltage and equivalent resistance for the circuit below when the resistor R5 is taken out...

Homework Statement http://postimg.org/image/p14d9faf9/ The top two resistors are in parallel, so their equivalent resistance is 0.6 ohms. But if you were to draw the equivalent circuit, where do we place this equivalent resistance? can it be placed either where the 1 ohm or 2 ohm...

I am trying to refresh my basic electricity knowledge so the questions might be a little stupid lol. 1) Am I correct in saying that the voltage, V1, across the 6 ohm resistor is equal to the VOC? 2) Why isn't the voltage across the voltage source, V2, equal to V1 and VOC? I thought that...

I am working out statics past papers to prepare myself for my exam which is in 3 days time, I encountered the following problem. Homework Statement A compound body, supported as shown in Figure 2, consisting of a rectangle, semicircle, and the triangle is made of aluminium, and has a...

Homework Statement Homework Equations The Attempt at a Solution I am trying to compute ##I_N##. I connected nodes a and b. The circuit after some simplification: $$\frac { 180-{ V }_{ 1 } }{ 20 } =\frac { 120-V_{ 1 } }{ 40 } \\ { V }_{ 1 }=240\quad V\\ \\ R=\frac { V...

Homework Statement Homework Equations The Attempt at a Solution I am trying to find the equivalent resistance for part b. First, we turn off independent sources. We open circuit the 2A source and we close circuit the 30V source. We're left with two resistors. Are they in series or parallel...

Homework Statement Homework Equations The Attempt at a Solution I got ##R_{ th }=4\quad Ω## easily but I am having trouble finding ##V_{th}##. Assume the negative terminal of the 32V voltage source is ground. Here is the nodal analysis at node 1: $$\frac { 32-V_{ 1 } }{ 4 } +2=\frac { V_{...

I'm trying to get a feel for the overall magnitude of the Earth's magnetic field. If I placed a superconducting belt around the Earth magnetic equator, how much current would that loop have to carry to approximate the Earth magnetic field? Currently, the field at the equator is about 31 microT...

(please check attachment) Calculate the effective resistance between A and F Initially, I thought that the first resistance is ignored and the current takes the lower path. Then 2Ω and 2Ω are in parallel giving an effective resistance of 1Ω. However, it could also be that all three are in...

Homework Statement What is the equivalent resistance of the infinite resistor chain, shown in the figure, between the points A and B? Plot the equivalent resistance versus q graph. [PLAIN]http://www.komal.hu/kep/abra/e4/b2/0d/cec528140d62b825f84ecf4d8.gif Homework Equations The...

Homework Statement how many minimum no of resistances of eash 2Ω resistance can be connected to have an effective resistance of 1.5Ω Homework Equations The Attempt at a Solution I tried to put 2 in parallel,series and different combinations. After 5-10 mins of relentless...

Hi, Im trying to find the Thevinin Equivalent of the attached circuit. The answers I am getting are Vth = 20v Rth = 10kΩ The attachment shows my workings for the problem. Please advise if there are any errors in my work and if you could where and what i need to do to correctly...

I know that the current should flow through all the circuit but I have heard that the two vertical R in the circuit don't count I can't understand why?! I need a obvious clear explanation for this in detail thanks in advance.

I would like to know the equivalent resistance of this circuit with a clear obvious explanation, thanks in advance

Homework Statement Having some Difficulty in starting the second question on this sheet. i have managed to find examples and worked my way through the first question, but unfortunately my tutor has decided to move onto pastures new, and we have an assignment to complete but no tutor which...

Salutations, question: ~wikipedia. I'm assuming that's because (correct me if I'm wrong) those particles would travel at c and you could not overtake them so their chirality and helicity are equal.But if a photon was coming towards you then zoomed past you surely the chirality would change...

Hello, I am having trouble understanding why the equivalent length in buckling problems, as well as the moment of inertia, change depending on what plane of buckling you are looking for, and how to calculate the moment of inertia in a particular plane

i am confused at the 20v voltage since it becomes short circuit.i had started reading the circuit from the left side 1M ohm and 2k ohm are in parallel and in series with the 3k.knowing that current wants less resistant ways it will go to the killed voltage source...after that I am wasnt able to...

When is it appropriate to use \equiv as opposed to =?

Homework Statement In Section 5.2 we discussed four equivalent ways to represent simple harmonic motion in one dimension: x(t) = C_1 e^{i \omega t} + C_2 e^{-i \omega t} (1) = B_1 cos(\omega t) + B_2 sin (\omega t) (2) = A cos(\omega t - \delta) (3) =Re C e^{i \omega t} (4)...

olarBear: Yes, all of these formulations of completeness are equivalent. It is a fundamental property of real numbers and metric spaces, so it makes sense that any formulation of completeness would be equivalent to the others. To answer your specific questions, 3 does imply 1, and 5 and 6 do...

I'm having a time figuring out how to solve this one, hope someone can help me out Homework Statement "Calculate the equivalent capacitance between X and Y on the circuit in the figure. C1=C3=C4=C5=8uF, C2=20uF" Homework Equations The Attempt at a Solution I can't figure out a...

Question: In the electrostatic case, the expressions F = del(p.E) and F = (p.del)E are equivalent: I am having trouble with how to show they are equivalent In the second equation, I expanded it out to give F= px (dE/dx) + py (dE/dy) + pz(dE/dz) Any help as to how to do this would be...

Homework Statement For the circuit given in Fig 15.53, (a) draw the s-domain equivalent; (b) write the three s-domain mesh equations; (c) determine i1, i2, and i3. Homework Equations Laplace Transform table Zc=1/SC Zl=SL The Attempt at a Solution I have uploaded my work but what...

The questions is in the thumbnail, please tell me am I correct.thanks

Convert the following numbers to their floating point binary equivalent. Can someone check my work? a) 18.25 so I got 10010.01 I couldn't find an online conversion calculator anywhere. can you also check my answer for this one? b) 1027.375 I got 10000000011.010

For every interval [ f(a)-e, (fa)+e ] there exists an interval [ f(a-d), f(a+d) ] such that [ f(a)-e, (fa)+e ] includes [ f(a-d), f(a+d) ] is this definition equivalent to the epsilon-delta definition?

I see the open and closed circuit test on the transformer section I don't understand why we doing that(open and closed circuit test) can anyone explain and give some example?

1) Peano axioms for the natural numbers 2) Well-ordering principle 3) Principle of mathematical induction 4) Principle of complete induction Are they all equivalent? I'm going to attempt to prove them if they are, but I'd like someone to point out whether they are or not. I've heard that...

Homework Statement . Let ##Lip_{M}(ℝ)##={##f: [0,1]→ℝ : |f(x)-f(y)|≤M|x-y|##}. Prove that ##(Lip_{M}(ℝ),d_∞)## and ##(Lip_{M}(ℝ),d_1)## are topologically equivalent but not equivalent. ##d_∞(f,g)=Sup_{x \in [0,1]}|f(x)-g(x)|## ##d_1(f,g)=\int_0^1 |f(x)-g(x)|dx## The attempt at a solution. I am...

Homework Statement Determine the T-network equivalent of the ∏ (Pi) network shown in the Figure? Homework Equations I started working on this question and don't know if I am heading in the right direction. The impedances of the T network (Z1, Z2, Z3) can be found from the impedances of the...

Homework Statement . Let ##(X,d)## a metric space and ##f: X→X## an injective, continuous and open function. We define ##d' : XxX→ \mathbb R_{≥0}## as ##d'(x,y)=d(f(x),f(y))##. Prove that ##d'## defines a distance and that ##d'## is topologically equivalent to ##d##. The attempt at a...