Recent content by KillerZ
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First order ordinary differential equation
OK doing it with the substitutions: k = \frac{hA}{m_{Hg}C_{p,Hg}} and T = T_{Hg} \frac{dT}{dt} = k(T_a - T) \frac{1}{k(T_a - T)}dT = dt \frac{-1}{k}\int\frac{1}{(-T_a + T)}dT = \int dt \frac{-1}{k}ln|-T_a + T| = t + c ln|-T_a + T| = -kt + c -T_a + T = e^{-kt + c} T = ce^{-kt} + T_a...- KillerZ
- Post #4
- Forum: Calculus and Beyond Homework Help
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First order ordinary differential equation
Homework Statement I haven't done ODEs in a few years and I am trying to do this equation: m_{Hg}C_{p,Hg}\frac{dT_{Hg}}{dt} = Q Q = hA(T_{air} - T_{Hg}) T_{Hg}(t = 0) = 20 I need to find T_{Hg}(t=590) Homework Equations The Attempt at a Solution h, A, m_{Hg}, C_{p,Hg}...- KillerZ
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- Differential Differential equation First order Ordinary differential equation
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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Converting Temperature Coefficients to ppm/(deg C) Made Simple
I updated the previous post but it must have happened after you replied: Iref = 100uA R = 43K \frac{dIref}{dT} = \frac{1}{R}\frac{dR}{dT}(Iref) + \frac{1}{R}\frac{dVbe}{dT} \frac{dIref}{dT} = (1060 ppm/deg C)(100uA) + \frac{1}{43K}(-2mV/deg C) \frac{dIref}{dT} = 0.000000059 A/(deg C) I think...- KillerZ
- Post #7
- Forum: Engineering and Comp Sci Homework Help
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Converting Temperature Coefficients to ppm/(deg C) Made Simple
I have a simple current mirror made of BJTs and the output current needs to be 100uA and I am trying to balance a resistors positive temperature coefficient (1060 ppm) with the negative temperature coefficient of the BJTs to temperature compensate it. I am sure that the fractional temperature...- KillerZ
- Post #5
- Forum: Engineering and Comp Sci Homework Help
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Converting Temperature Coefficients to ppm/(deg C) Made Simple
The A is amps.- KillerZ
- Post #3
- Forum: Engineering and Comp Sci Homework Help
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Converting Temperature Coefficients to ppm/(deg C) Made Simple
I am not sure if this is the right place to ask this. I am wondering how to convert to ppm/(deg C). I have a temperature coefficient I found and I am trying to convert the number to ppm/(deg C). The number I have is 0.000000059 A/(deg C) so do I just multiply it by 10^6 which gives me 0.059...- KillerZ
- Thread
- Replies: 6
- Forum: Engineering and Comp Sci Homework Help
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Geosynchronous Orbit Satellite Altitude Calculated from Moon
Homework Statement NASA would like to place a satellite in orbit around the moon such that the satellite always remains in the same position over the lunar surface. What is the satellite's altitude? Homework Equations T^{2} = \left(\frac{4\pi^{2}}{GM}\right)r^{3} The Attempt at a...- KillerZ
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- Orbit
- Replies: 2
- Forum: Introductory Physics Homework Help
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Solve RL Circuit Homework: KVL, Voltage, Current, Time
Ok I got it thanks for the help.- KillerZ
- Post #5
- Forum: Introductory Physics Homework Help
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Solve RL Circuit Homework: KVL, Voltage, Current, Time
Ok I attempted this and here is what I got: KVL: iR + v = 0 iR + L\frac{di}{dt} = 0 \frac{di}{dt} = -\frac{iR}{L} -\frac{di}{i} = \frac{R}{L}dt -lni + C = \frac{R}{L}t I_{L}(0)=1 A -ln1 + C = \frac{R}{L}0 C = 0 -lni + 0 = \frac{R}{L}t 0 = \frac{R}{L}t + lni 1...- KillerZ
- Post #3
- Forum: Introductory Physics Homework Help
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Solve RL Circuit Homework: KVL, Voltage, Current, Time
Homework Statement The switch has been closed for a long time. a) Current flowing through inductor. Voltage across it. IS any current flowing through the resistor. b) The switch opens at t = 0s. Find an equation for the inductor voltage as a function of time for t > 0. How long does it take...- KillerZ
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- Circuit Rl circuit
- Replies: 4
- Forum: Introductory Physics Homework Help
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Velocity versus time form acceleration versus time
I used this formula: v_{n} = v_{n-1} + a_{n}(0.1) which is what you said but would the position be: x_{n} = x_{n-1} + v_{n-1}(0.1) + (0.5)a_{n}(0.1)^{2} y_{n} = y_{n-1} + v_{n-1}(0.1) + (0.5)a_{n}(0.1)^{2} for every point?- KillerZ
- Post #3
- Forum: Introductory Physics Homework Help
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Velocity versus time form acceleration versus time
Homework Statement I have some data from a lab conducted with a accelerometer to collect the acceleration and I am trying to figure out how to create a v vs t graph from the a vs t graph. When I create the a vs t graph in excel its very crazy looking because of the change in acceleration at...- KillerZ
- Thread
- Acceleration Form Time Velocity
- Replies: 3
- Forum: Introductory Physics Homework Help
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Do These Functions Form a Fundamental Set for the Differential Equation?
Homework Statement Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. Form the solution. 4y^{''} - 4y^{'} + y = 0 e^{x/2}, xe^{x/2} Homework Equations...- KillerZ
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- General General solution
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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Solve Initial-Value Problem: Find Interval x=0
I found the interval: as tanx = sinx/cosx cosx can not equal zero so the interval is: (-\frac{\pi}{2}, \frac{\pi}{2})- KillerZ
- Post #3
- Forum: Calculus and Beyond Homework Help
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Solve Initial-Value Problem: Find Interval x=0
Homework Statement Find an interval centered about x = 0 for which the given initial-value problem has a unique solution. y^{''} + (tanx)y = e^{x} y(0) = 1 y^{'}(0) = 0 Homework Equations a_{i}(x), i=0,1,2,3,...,n is continuous and a_{n} \neq 0 for every x in I. The Attempt at a Solution...- KillerZ
- Thread
- Replies: 2
- Forum: Calculus and Beyond Homework Help