Recent content by CeilingFan

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    Node Voltage Current Direction

    I have added in current directions and decided if power is dissipated or generated in my picture according to what I've understood from you. Is it correct?
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    Node Voltage Current Direction

    Hi. Thanks for the quick reply. Is there any fixed rule for which I can determine how it will move then? I'm asking because I'm interested in knowing how to answer if, for example, the question requires me to determine if power is dissipated or generated through the elements (I do know that...
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    Node Voltage Current Direction

    Homework Statement Hi all, how do I know how the current direction are through each elements after solving a circuit (finding node voltages w.r.t GND)? I think my understanding in electricity is rather incomplete. For example, I know that current should flow from a higher potential to a lower...
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    Thermofluids question, saturated water, piston-cylinder.

    Homework Statement [/B] Hi, not sure if I posted this in the correct section... I have a solution, but am unsure if I am correct in going about it. The answer is not given, so I am having trouble figuring if I'm right or not. Anyway, the question goes like this. Saturated water mixture...
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    Method of undetermined coefficients

    Hi. Thanks for replying. I don't think I have. Hi. Thanks for replying. I understand the derivation of homogeneous equations, and how I should choose particular solutions when trying to solve, but I don't understand the rationale behind the need to adding the extra 'x' term when the term...
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    Method of undetermined coefficients

    Hi all, I have a quick question. I was taught this, but wasn't explained to at all why it is the case. So let's say I have a differential equation with constant coefficients i.e. y'' - 4y' + 4y = e^2x And the general solution to its associated homogeneous equation is Ae^2x + Bxe^2x [A &...
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    L'Hospital's Rule: Understanding and Applying the Rule for Limits at Infinity

    Ah. All make sense now. Is there anywhere I can read up on this rule? I don't think I was taught this, unless it's derivable from what I already know. Either that or I've been a horrible student. Haha.. So it doesn't have to be a limit at infinity for this rule to hold, can be any limit right...
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    L'Hospital's Rule: Understanding and Applying the Rule for Limits at Infinity

    Homework Statement Okay, so the problem is to find lim (x→∞) (e^x + x) ^ (1/x) I was given the solution in the assignment in which the first step was to take the natural log of the function, then exponentiate it. i.e. lim (x→∞) [exp ln( (e^x + x) ^ (1/x))] which I understand...
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    Confused why both answers are different. P = F.v

    Hi! Thanks for the quick reply! Do you mean that, only if the force is acting on a constant mass, i.e. F=m*a, can we then use P=F*v? So if mass is moved/changed and requires dm/dt in the force equation, P=F*v cannot be considered"? (I'm still not too sure about the idea behind P=F*v, so...)
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    Confused why both answers are different. P = F.v

    Homework Statement A fire hose for use in urban areas must be able to shoot a stream of water to a maximum height of 34m . The water leaves the hose at ground level in a circular stream 3.0cm in diameter. What minimum power is required to create such a stream of water? Every cubic meter of...
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