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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, $R$: \[I=\frac{V}{R}.\]It's also true that resistance is directly proportional to the length of the wire. We have a piece of wire. We pass $50$ volts through this wire and measure $200$ milliamps of current. If I cut the wire in half and pass $300$ volts through it, how many milliamps of current will I measure?

 Mar 28, 2021
 #1
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You will measure 200*300/50 = 1200 milliamps.

 Mar 28, 2021
 #2
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Im sorry but thats incorrect

 Mar 28, 2021
 #3
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i = v/r

calculate r

200 = 50/r

r = 50/200  

cutting wire in half makes new  r = 1/2 r

 

i = 300/(1/2(50/200)) = 2400 mAmps     or   2.4 amps

 Mar 28, 2021
 #4
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That is correct, thanks 

 Mar 28, 2021

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