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?

Guest Mar 28, 2021

#3**+1 **

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

ElectricPavlov Mar 28, 2021