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In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$:
I = V/R
It's also true that resistance is directly proportional to the length of the wire.  We have a piece of wire.  We pass $500$ volts through this wire and measure $25$ milliamps of current.  If I cut the wire in half and pass $175$ volts through it, how many milliamps of current will I measure?

 Jun 20, 2024
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avatar+1839 
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For this problem, you must consider addition and subtraction of complex numbers geometrically.  The answer turns out to be s, t, u.

 Oct 10, 2024

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