3 ms·
Using different math approach is super fruitful. For example, alternating current in presense of capaciators and induction coils is well handled by switching t
by thriftwy 4y ago
Using different math approach is super fruitful.
For example, alternating current in presense of capaciators and induction coils is well handled by switching to imaginary (complex) resistance/current/voltage calculation, and transition processes in electric chains are handled by operational calculus.
If we used differential equations to solve these, which indeed look natural for these tasks, we will not be able to accomplish any calculations without a PhD.
- ajross 4y ago> If we used differential equations to solve [RC networks], we will not be able to accomplish any calculations without a PhD. That's overstating the argument[1]. In fact "differential equations" are naturally abstractable too. Decades and decades of workaday electrical engineers have been writing SPICE models successfully. The fact that one abstraction looks like "math" and the other "software" is just an aesthetics thing. That's not to say that there's no point in teaching complex impedance. There absolutely is. But abstraction works in mysterious ways and some abstractions are more "beautiful dead ends" than others. [1] Also needs to be mentioned that linear RC networks are a pretty small subset of the actual problem that needs solving. Transistors are kinda important too.
- not2b 4y agoI learned how to use differential equations to solve circuits as an undergraduate in electrical engineering, and also how to derive the more efficient methods from the differential equations by assuming solutions are (possibly complex) exponentials. No PhD required.