# WolframAlpha guide on electrical engineering

 P: 1,636 Introduction: WolframAlpha is a freely available computational engine that can supplement already existing software such as mathematica, maple, mathlab, or excel. The purpose of this mini-guide is to go over some of its functionality with emphasis on electrical engineering. www.wolframalpha.com Dimensional analysis: WolframAlpha recognizes many common units. It will simplify dimensions and scale units. For example, farad * henry will generate [time]^2 0.01 uF to pF will generate 10,000 pF or 10 nF WolframAlpha also can tap its database to pull up a conversion formula from the context convert 25 MHz to meters will convert the frequency to wavelength 12 meters find energy in 100 uF at 10 KV will give energy in a capacitor, or to find inductance to resonate with 10 nF capacitor at 100 Khz; just say that find inductance for 10 nF at 100 KHz output 253 nH Also if you haven't memorized resistor color bands already, you can still look them up resistor yellow purple red output: 4.7K Complex numbers and phasors: Working in polar form is supported in W|A. By typing an impedance in rectangular form 30 + 45i we are quickly given its magnitude and phase of 54, and 56 degrees and likewise, we can indicate a phasor in polar form with an exponential e e^(i pi) generates -1 we can also manipulate phasors algebraically 100 e^(i 45 deg) + 25 e^(i 30 deg) output: magnitude = 124, phase = 42 deg indicate degrees with “deg” otherwise W|A will interpret it in radians. Solving equations: To solve $x^2 - 2x + 1= 0$, enter the equation as it is x^2 - 2x + 1 = 0 output x = 1 and W|A solves it. Don't even have to specify the variable to be solved. Solving systems of equations is just as easy, $$v_1 + v_2 + v_3 = 4$$ $$v_1 - v_2 = 10$$ $$v_1 - 3v_2 + 5v_3 = 8$$ simply type v1 + v2 + v3 = 4, v1-v2 = 10, v1 - 3v2 + 5v3 = 8 output v1 = 23/3, v2 = -7/3, v3 = -4/3 just make sure that the equations are separated by a comma. Differential equations are supported as well. An nth number of apostrophes indicates an nth derivative, and proceed as before. For example to solve $$\frac{d^2y}{dx^2} - \frac{dy}{dx} - 2y = 0 \indent y(0) = 1, y'(0) = 2$$ enter the code as follows, y'' – y' - 2 y = 0, y(0) = 1, y'(0) = 2 and we get a solution y = e^2x as well as a plot that can be saved in pdf format, and printed out. We can also maximize and minimize max 1 - x^2 finds maximum of 1 Logic gates and boolean algebra: Converts number bases, binary 1111101 to hex = 7d We can also work with boolean expression in WolramAlpha, for example (x or y) and (x or !y) generates a truth table: a schematic with logic gates, and even simplifies the expression to a minimal form Here is the supported syntax: NOT = ! OR = || AND = && NAND NOR XOR More on calculus: W|A can perform basic calculus take derivatives: $$\frac{d}{dt} cos(t)$$ derivative cos(t) do integration: $$\int \frac{1}{x+1} dx$$ integrate 1/(x+1) dx and take Laplace and Fourier transforms: $$\mathcal{L}(x^2), \mathcal{F}(e^x)$$ laplace x^2 fourier e^x Plotting: If you want to graph a transfer function for instance, $$H(s) = \frac{s+10}{s^2 + 4s + 8}$$ enter:  graph (s + 10)/(s^2 + 4s + 8) and here we have Conclusion: WolframAlpha uniquely combines different tools into a one freely available package and that expands our tool box. This mini-guide doesn't cover all of W|A, it merely touches upon features that can be used in electrical engineering, for more information visit their examples page http://www28.wolframalpha.com/examples/ also, W|A is said to expand in the future, enabling more functionality, and tools.
 Mentor P: 41,353 Thanks for putting that together, waht. I've stickied this thread to help us learn how to utilize W|A. Any further posts in this thread should be about tips on how to use W|A and its features. Discussions about W|A and its implications for eductaion, etc., belong in a different thread, like this one: http://www.physicsforums.com/showthread.php?t=307686 .
Mentor
P: 12,074
 Quote by waht Also if you haven't memorized resistor color bands already, you can still look them up resistor yellow purple red output: 4.7K

The inverse operation works also. Type this for input:
resistor color 4.7k ohms
... and the output is an image of the resistor with the correct color bands:

View the full W|A output here:
http://www5f.wolframalpha.com/input/...e&equal=Submit
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 Mentor P: 12,074 WolframAlpha guide on electrical engineering WolframAlpha calculates parallel resistor combinations: http://www.wolframalpha.com/input/?i...0+%2B+1%2F4700
 P: 17 WHOA! http://www.wolframalpha.com/input/?i=low+pass+filter designs filters for you http://www.wolframalpha.com/input/?i=op+amp also, a simpler calculator for the parallel resistances, http://www.wolframalpha.com/input/?i...lel.R2_20+ohms also, very nice inductance calculations for the RF geeks: http://www.wolframalpha.com/input/?i=inductance+of+coil
 PF Gold P: 1,684 Check out the WolframAlpha app for the iPhone and iPod Touch. Its pretty awesome!
 P: 17 Remember when the WA app cost $50? They thought because it's better than any scientific calculator could be, they could charge that much, but you know, no one would pay that much so they made it$2.
 P: 3 is there any advantage over the ipod app vs the standard web version?
 P: 4 Would you guys recommend wolfram alpha to a student who is interested in learning more about physics and modeling physics within computing systems? I have a small bit of experience with mathlab, and am hoping to be on the go as I do this (iPad, Android, etc.)
 P: 219 I have "Algeo.apk" in my galaxy tab, it is a wonderful application in small scale.