Find the Current using Force/Length Between Two Wires

  • Thread starter Thread starter sozo
  • Start date Start date
  • Tags Tags
    Current Wires
AI Thread Summary
The problem involves calculating the current in two parallel wires, where one wire carries twice the current of the other, and the force on a segment of one wire is given. The force per unit length equation is applied, incorporating the magnetic constant and the distance between the wires. An error in the distance value used in calculations led to an incorrect current result of 0.63 A instead of the expected 0.40 A. Correcting the distance from 0.06 m to 0.006 m is crucial for accurate calculations. The correct greater current is determined to be 0.40 A.
sozo
Messages
1
Reaction score
0

Homework Statement


Two long parallel wires are separated by .006 m. The current in one of the wires is twice the other current. If the magnitude of the force on a 3m length of one of the wires is equal to 8μN, what is the greater of the two currents?

The answer: .40 A

Homework Equations


F/L = (μ0)(Ia)(Ib) / 2∏d
μ0 = 4∏x10^-7
d = distance between the wires
Ia/b = values for the two currents

The Attempt at a Solution


I plugged everything in like so: (8x10^-6)/3 = (4∏x10^-7)(I)(2I)/2∏(.06)
From that, I divided the left side and the right, leaving me with:
2.67x10^-6 = 3.33x10^-6(2I^2)
Then I just solved for I by getting I by itself (.801/2 = I^2) and and taking the square root of (.801/2) to find I. At this point, I've found that I = .63A , but I don't know where to go from here. The answer should come out to be .40A.

 
Physics news on Phys.org
The problem says d = 0.006m but you used d = 0.06m
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Back
Top