Recent content by theuniverse

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    Truncation Error and its Bounds

    Homework Statement a) Derive a Taylor series with n+1 terms and the associated truncation error for the function f(x)=(log(x)-x+1)/(x-1)^2 b) Construct an expression that bounds the truncation error, assuming n > 2, for a given value of x 2. The attempt at a solution a) So I came up with the...
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    Finding Currents in a Circuit

    Yeah I meant to equal all the loops to 0. How about this: Loop 1: -V_1+I_1(R_3+R_1)+V_2+I_5R_2=0 And you are right about the nodes a and d.. They are switched in my diagram on paper.. thanks!
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    Finding Currents in a Circuit

    Homework Statement Find currents I1-I6. I'm really looking only for the equations though... Homework Equations V=IR The Attempt at a Solution I tried to set up equations for the nodes and loops: Node a:I_2-I_6-I_3=0 Node b: I_3+I_5-I_1=0 Node d: I_1-I_4-I_2=0 Loop 1...
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    Photomultiplier Tube - Gain and Secondary Emission

    I'm studying about photomultipliers right now, but I'm having troubles understanding the concept of gain and secondary emission ratios... 1) Gain : If I were to take a measurement of the output signal produced by photoeletrons and relate it the the high voltage of the PMT, I'd expect a linear...
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    Non Inverting Operational Amplifier

    Thanks! yea I ended up doing that by kept forgetting the extra 1 for the gain. All solved now though.
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    Solving Logic Function w/ NOR Gates

    Thanks for the help LCKurtz!
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    Solving Logic Function w/ NOR Gates

    Using two NOR gates: BC'=B''C'=(B'+C)'. So one of my NOR gates is used to invert the B, and then the other one connects the B' and a C which makes it equal to (B'+C)'. Would that be correct?
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    Non Inverting Operational Amplifier

    Homework Statement Derive an expression for the gain Vout/Vin. Express your answer in the form of A+jB. Homework Equations The Attempt at a Solution If C is the capacitor in series with R1, gain = 1 + R2/[R1 + 1/(jwC)]. It says to express it in the form of A (real)+ jB (imaginary), but I'm...
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    Solving Logic Function w/ NOR Gates

    I think I get it. I will need to use 1 NOR for my inverter, and 3 NORs for my AND, am I right?
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    Solving Logic Function w/ NOR Gates

    I drew them, and I see how something can go from AND to NOR for examples but I still don't understand how I can break BC' into something that I can draw using only NORs. If I put the whole expression like so: (BC')' would I be able to do anything with it?
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    Solving Logic Function w/ NOR Gates

    Homework Statement Consider the truth table below. (a) Write an expression for the logic function that it represents, and simplify that expression as much as possible, showing all steps. (b) Draw a logic circuit implementing this. (c) Redesign your circuit to use only NOR gates...
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    Statistics of Radioactive Decay

    Thanks! seems to work now.
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    Statistics of Radioactive Decay

    Homework Statement I hope that I'm posting it in the right section... I did an experiment in class using a Geiger-Muller counter with the objective to find the amount of counts (how many photons hit the detector) due to natural radioactivity around my work station. I recorded 45 values of...
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    What are the equations for calculating loop currents in a circuit?

    Yea that was the concept I couldn't fully understand... I get it now. In case anyone else is interested here are the equations that actually work: 1) 10V-5I_1-2I_1-5I_3=0 2) 10V -5I_1-5I_3-3I_3-20V-4I_3+4I_2=0 3) 4I_2-4I_3+2I_2=0 gneill You've been a great help as usual! Thanks!
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    What are the equations for calculating loop currents in a circuit?

    Homework Statement Find the Loop currents that are shown in the network of the figure below. Homework Equations V=IR The Attempt at a Solution I know that I need to create 3 equations since there are three unknown currents and then solve for them so here is what I got. 1)...
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