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Results tagged with linear-systems
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user 22927
A linear system is a mathematical model of a system based on the use of a linear operator. A system is linear if and only if it satisfies the superposition principle, or equivalently both the additivity and homogeneity properties, without restrictions.
6
votes
Accepted
Why superposition is useful just for linear functions?
A linear system is one where, if we have two inputs $x_1$ and $x_2$, producing outputs $y_1$ and $y_2$, then the output for an input of $\alpha{}x_1 + \beta{}x_2$ is $\alpha{}y_1 + \beta{}y_2$. This i …
- 29.5k
5
votes
Accepted
Linearity (or lack thereof) of the Poynting vector
Consider Young's double slit experiment? Each of the slits is effectively a "source" for the EM field between the slits and the screen. And the pattern we see on the screen represents the power delive …
- 29.5k
0
votes
To calculate the resultant resistance of a circuit can you use all possible paths and assume...
No, that isn't a valid method of solution. It will not give the correct result.
There are four typical methods for solving this problem:
Use the delta-wye transform on part of the circuit, to obtain …
- 29.5k
0
votes
To calculate the resultant resistance of a circuit can you use all possible paths and assume...
yeah I know how to solve this by saying a&b are at the same potential and going from there
In that case you should be able to see immediately that your proposed method will give a different result, …
- 29.5k
2
votes
Confusion when utilizing complex electric field to do calculations
From my understanding the two outputs of the system are e^(iwt) and ie^(iwt). In this scenario "i" displays a phase shift in the complex plane,
Remember that
$$i = e^{i\frac{\pi}{2}}$$
so
$$ ie^{i\o …
- 29.5k