All Problems

Constant Magnetic Field, Magnetics

Problem 3.256

Two long parallel wires of negligible resistance are connected at one end to a resistance \(R\) and at the other end to a dc voltage source. The distance between the axes of the wires is \(\eta=20\) times greater than the cross-sectional radius of each wire. At what value of resistance \(R\) does the resultant force of interaction between the wires turn into zero?

Reveal Answer
Rμ0/ε0(lnη)/π=0.36kΩR \approx \sqrt{\mu_{0} / \varepsilon_{0}}(\ln \eta) / \pi=0.36 \mathrm{k} \Omega