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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?

 Dec 2, 2024
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avatar+3245 
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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 = IR     ==>>     R  =  V / I     

                                R  =  500 / 25 mA     

                                R  =  500 V / 0.025 A     

                                R  =  20,000 Ω     

 

                               (1/2) • 20,000 Ω  =  10,000 Ω     

 

   V = IR     ==>>     I  =  V / R     

                                I  =  175 V / 10,000 Ω     

                                I  =  0.0175 A     

                                I  =  17.5 mA     

 

   I don't like the expression "pass volts through a wire" but I won't quibble.     

   .     

 Sep 4, 2026

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