PeroK's latest activity
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PeroK reacted to weirdoguy's post in the thread Undergrad Our Mathematical Universe book -- Since when does light contain voltage? with
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One thing, because I think that is your main issue - voltage is not a property of electrical current per se (e.g. flow of electrons in... -
PeroK reacted to Ibix's post in the thread Undergrad Our Mathematical Universe book -- Since when does light contain voltage? with
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I'd prefer to say it includes an electric field, but "has voltage" will do, yes. Do note @weirdoguy's comment in #9, though. Although... -
PeroK replied to the thread Undergrad Our Mathematical Universe book -- Since when does light contain voltage?.It's not very helpful to think of light as made of photons. There are two theories of light. First, there is classical electromagnetism... -
PeroK reacted to berkeman's post in the thread Undergrad Our Mathematical Universe book -- Since when does light contain voltage? with
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Light waves have E and B components. The oscillating E-field component is what accelerates electrons in antennas and other metal... -
PeroK reacted to Ibix's post in the thread Undergrad Our Mathematical Universe book -- Since when does light contain voltage? with
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Yes, in principle you can use the electric component of light to push a current on a circuit. Light oscillates too fast for us to do... -
PeroK replied to the thread Undergrad Why ##a^0=1##?.We can also work backwards: $$a^3 \times a^{-1} = a^2$$$$a^2 \times a^{-1} = a^1 = a$$$$a \times a^{-1} = 1 (= a^0)$$$$1 \times a^{-1} =... -
PeroK replied to the thread Undergrad Why ##a^0=1##?.I guess the rationale is this: Start with ##0##, add ##a## you get ##a##. Add ##a## again you get ##2a##. In this case you start with... -
PeroK replied to the thread Undergrad Why ##a^0=1##?.Why not define ##a^0 = 0##? And take it from there. For example: The usual index rule for all integers ##m, n## is: $$x^mx^n = x^{m +... -
PeroK replied to the thread The optimal way of dividing the bet three ways.Yes, this is correct for the given problem. I hadn't understood it properly when I posted originally. -
PeroK reacted to Gavran's post in the thread The optimal way of dividing the bet three ways with
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I would rather use “Suppose there are ## n ## possibilities and those (precisely) ## n-1 ## must happen.” Therefore, if the USA wins... -
PeroK replied to the thread "Critical" Triangle Problem.I think you can finish it off by looking at the imaginary part and using the rational root theorem. This would show that either ##a =... -
PeroK replied to the thread "Critical" Triangle Problem.Here's my thinking. We need an angle ##\theta = q\pi## (in radians), where ##q## and both ##\cos \theta## and ##\sin \theta## are...