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 60 volts through this wire and measure 200 milliamps of current. If I cut the wire in half and pass 400 volts through it, how many milliamps of current will I measure?

Guest Jun 4, 2023

#1**0 **

i = v / r

and

r = L

200 = 60 / r

r = 10 / 3

cut wire in half means r = 10 / 6 or 5 / 3

i = 400 / 5 / 3

i = 240

Guest Jun 5, 2023

#2**0 **

I==V/R

R==V/I

200 milliamps ==200 / 1000 =0.2 amps.

R==60 / 0.2 ==300 ohms.

300 / 2 ==150 ohms - resistance in 1/2 of original wire.

I ==V/R

I==400 / 150 ==2.67 amps.**2.67 x 1,000 ==2,670 milliamps of current.**

Guest Jun 5, 2023

#3**+2 **

Cutting the wire in half will increase the amps by a factor of 2 to 400 ma (because the resistiance is halved)

increasing the volatage ACROSS the wire will increase the amps by 400 / 60

400 / 60 * 400 ma = 2666.7 mAmps

(NOTE : **Voltage is apllied ACROSS a component ....not THROUGH it) **

(current goes THROUGH a componet)

ElectricPavlov Jun 5, 2023

#4**+1 **

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JamesHutchings
Jun 6, 2023