Recent content by xanthym

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    How Can a BJT Transistor Be Used to Control LED Current?

    To supplement O-Dan's circuit info, the following link is specific to Bipolar Junction Transistors (BJT), and in particular, covers their special switching applications (which is probably what you're looking for). Check the links below. (First link is main article, in which you'll need to...
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    Calculating RMS and Peak Values of Electric Fire

    SOLUTION HINTS: This problem is designed to distinguish between RMS and Peak values of Voltage, Current, and Power for a purely resistive load. We are given: {RMS Voltage} = (240 V) {RMS Power Rating for Resistive Load} = (1000 W) For standard AC systems, we know that: {RMS Power} = {RMS...
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    Index Notation and Vector Field Manipulation: Solving Complex Problems with Ease

    Good observation. "Sunshine" should make that correction for the final result (see Msg #2). ~~
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    Index Notation and Vector Field Manipulation: Solving Complex Problems with Ease

    SOLUTION HINTS: You did very well so far! When indexing a vector result, remember to indicate the LEFT side component with the FREE index ("i" in this case). Thus, your result should have been (note the "i" subscript added on the LEFT side): (Note: To save time, the constant fraction...
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    Final exam questions: estimators.

    For Problem #1, solve for "c" which makes the estimator unbiased, which (in this case) involves setting the Eq #2 integral equal to (1/θ). See Problem #1 statement for other info. An estimator \hat{\omega} of distribution parameter \omega is Consistent if 2 conditions are satisified: 4...
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    Final exam questions: estimators.

    SOLUTION HINTS: For both cases, an Unbiased Estimator \hat{\omega} of distribution parameter \omega satisfies: 1: \ \ \ \ \ \ \mathbf{E}(\hat{\omega}) \, \ = \, \ \int \hat{\omega} \, f(y; \, \omega) \, dy \, \ = \, \ \omega \ \ \ \ \ \ \mbox{(Unbiased Estimator)} where f(y; ω) is...
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    Fluid Mechanics Help: Find Balloon Radius & Pipe Flow Rate

    Now solve the equation for spherical balloon radius "R": {Weight of Helium} + {Weight of Balloon + Load} = {Weight of Displaced Air} ::: <--- Buoyant Force ::: ⇒ {ρhelium*Vballoon*g} + {5905 N} = {ρair*Vballoon*g} ::: ⇒ {ρhelium*(4*π*R3/3)*g} + {5905 N} = {ρair*(4*π*R3/3)*g} ~~
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    How do you find to torque if force is applied over entire levl

    HINT: Since fluid pressure ⊥ Hatch Surface: 1: \ \ \ \ \textsf{Torque} \ \, = \, \ \int_{Hatch} r \, P \ dA where "r" is the distance of Area Element "dA" from the Reference Point or Axis, and "P" is the fluid pressure on Area Element "dA". Both "r"and "P" will be functions of Area...
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    Fluid Mechanics Help: Find Balloon Radius & Pipe Flow Rate

    {Volume of Container} = V = (24.8 liter) {Moles of Water in Container} = n = (5.7 grams)/(18 grams/mole) = (0.3167 moles) {Temperature} = T = (115.8 degC) = (388.9 degK) {Ideal Gas Constant} = R = (0.08206 Liter*atm/(mol*degK)) Use the Ideal Gas Law to calculate Pressure "P" in units of...
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    Fluid Mechanics Help: Find Balloon Radius & Pipe Flow Rate

    When the valve is opened, the situation becomes {P2 = P1}. Recalculate your results using this fact together with the other given values. ~~
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    Are Transformations of Data Changing the P-P Plots?

    The graphs should be different. Unfortunately, without seeing what you've done or the results therefrom, it's difficult to help. Can you provide more details concerning your transformations and provide images of the graphs?? To provide images of your graphs, upload to the site shown below...
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    How do I determine linear independence of vectors in 3-dimensional space?

    O-Dan: You're certainly correct that there might be some confusion regarding notation in this thread. Nevertheless, the objective of Msg #9 (and subsequently of Msg #11) was to present this concept: 5: \color{red}\ \ \ \ \ \ \left | \begin{array}{ccc} a_{1} & a_{2} & a_{3} \\ b_{1} &...
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    How do u solve for n Permutations

    SOLUTION HINTS: Factor 720 to help find the solution: 720 = (24)*(32)*(5) = n*(n - 1)*(n - 2) = (?)*(?)*(?) (Hint: Try 23) ~~
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    How do I determine linear independence of vectors in 3-dimensional space?

    . For Mathman23: *** POP QUIZ *** Given two (2) vectors {V1, V2 ∈ \mathbb{R}^{3}}, state a necessary and sufficient condition that these vectors are Linearly Independent. CLICK BETWEEN DASHED LINES BELOW To Reveal Answer In Pop-Up Window --------------------- \color{white}...
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    How do I determine linear independence of vectors in 3-dimensional space?

    Three (3) vectors in \displaystyle \mathbb{R}^2 are NEVER Linearly Independent. ~~
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