Force Between Parallel Conductors

AI Thread Summary
A 3-meter long wire with a mass of 0.10 kg and a current of 70.0 Amps is suspended above a parallel wire 2.0 cm below it. The relevant formula for calculating the force per unit length between the wires is F/L = µo/2(pi) * I1 I2/d. To find the current in the lower wire (I2), the user is advised to apply Newton's second law to account for the weight of the floating wire. By solving the equations, the user can determine the necessary current in the lower wire. The discussion emphasizes the importance of understanding the relationship between current, force, and distance in this context.
miniradman
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Hi there, I really need help with one question and help/hints would be greatly appreciated

1. A wire 3meters long, mass 0.10kg and carrying a current of 70.0 Amps floats without support above a horizontal wire 2.0cm below and parrallel to it. Find the current in the lower wire



2. I'm guessing this could be relevant formulas area? this formula

F/L = µo/2(pi) * I1 I2/d

where:
L= 3.00m
I1(subscript 1) = 70.00A
I2(subscript 2) = ?
d= 2cm or 0.02m



3. This is the exact working out that I have attempted

1/3 = (4(pi)*10^-7)/2(pi) * (70.0 I2/0.02)

= (8.79*10^-5)I2/0.125

*I am confused about the weight
 
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Apply Newton's 2nd law to the floating wire. Then you can find F. Then all you have to do is solve for I2.
 
Oh thanks mate, that was a lot of help!

(I feel dumb now):wink:

Cheers!
 
No problem.

I had trouble with those problems once too.
 

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