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I need help with this

 

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?

 Jul 12, 2023
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Let's first find the resistance of the wire using Ohm's formula:

R = V/I = 60/0.2 = 300 ohm

Now, if we cut the wire in half, its length will be halved, which means that the resistance will also be halved:

R/2 = 300/2 = 150 ohm

Now we can find the current that will flow through half the wire at 400 volts, again using Ohm's formula:

I = V/R = 400/150 = 2.67 amps

In milliamps, this would be:

I = 2.67 * 1000 = 2670 milliamps

Answer: At 400 volts, 2670 milliamps of current will flow through half of the wire.

 Jul 23, 2023

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