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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?

 Jan 7, 2025
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   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?     

 

   V = I • R     ==>>     R = V / I     ==>>     R  =  500 Volt / 25 mA     

                                                                  R  =  500 Volt / 0.025 Amp     

                                                                  R  =  20,000 Ω     

 

   V = I • R     ==>>     I = V / R     ==>>     I  =  175 Volt / 10,000 Ω     

                                                                  I  =  0.0175 Amp     

                                                                  I  =  17.5 mA     

   .     

 Aug 25, 2026

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