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what to do with it?
Basically an oscilloscope allows you to monitor with probes a range of electrical values and view the output by time and range.
That.
Or explained in another way:
It shows the change of voltage over time - to examine very fast voltage changes. Any other value, not only electrical, can also be measured. But it must be represented as a voltage, and the rate - how many V represent x A, N, Pa,... whatever - must be known, of course. Oscilloscopes can only measure voltage. So any other value must be transformed into voltage first.
In default mode the abscissa ("X"-axis) represents the time (depending on the scale adjusted tiny fractions of a second), while the ordinate ("Y"-axis) shows the voltage in volt, millivolt... - it's [mostly auto]adjustable, and depends on the scope.
Is it a periodical signal, the changes repeat the same way all the time (sine wave, saw tooth, rectangle [PWM or binary transmissions up to some MHz], scan and display are synchronized to the signal's frequency, so you can watch and measure within the signal as it was standing still.
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You can also record a timespan of a signal, and then look at it, if you want to take a look at a voltage for quite a while, and see if it changes (depending on the scope long term measurements over hours or days are possible, but better use a so called logger for that.) or some single incident, like the voltage during a spark:
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That's simplified the basics. Oscilloscopes are very comprehensive multi-measurment devices. Today's oscilloscopes are almost all digital, which means they are embedded computers, bringing a lot of analyzing software like FFT, networkanalyzers and other things.

It has many purposes, like to see how much noise a signal has, if it contains tolerable peeks, etc. etc. - to see, if a circuit does it's job as intended to resp. clean enough, and if not, what may cause the problem. An experienced electronics technician/engineer can trace back certain "patterns" to certain causes.
But unless you start on electronics yourself, you don't need to learn more.
 
It really comes down to money. Do you want top of the line HP Agilent or what is the budget.
Tektonic has affordable used prices. Rigol.

The more knobs it has the more it costs? BNC jacks... Mhz and channels
Arbitrary Function Generator is a must have?

My RadioMaster MT-12 RC Controller on STM32 has a 2.4GHz Wireless Spectrum Analyzer built in...
Its pretty awesome I got to say... even on 4" monochrome lcd. Using OpenEdge.

Then you have professional grade/costing tools.
 
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