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Find the Current using Force/Length Between Two Wires |
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| Aug2-12, 11:31 AM | #1 |
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Find the Current using Force/Length Between Two Wires
1. The problem statement, all variables and given/known data
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 2. Relevant equations F/L = (μ0)(Ia)(Ib) / 2∏d μ0 = 4∏x10^-7 d = distance between the wires Ia/b = values for the two currents 3. 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. 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution |
| Aug2-12, 03:05 PM | #2 |
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The problem says d = 0.006m but you used d = 0.06m
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| force, magnetism, wire |
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