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Each-of-two-long-straight-wires-4cm-apart-carry-equal-electric-currents-and-experience-a-force-of-2-10-4-N-m-What-is-the-magnitude-of-the-electric-current-in-each-




Question Number 40946 by Necxx last updated on 29/Jul/18
Each of two long straight wires 4cm  apart carry equal electric currents  and experience a force of 2×10^(−4) N/m.  What is the magnitude of the  electric current in each?
$${Each}\:{of}\:{two}\:{long}\:{straight}\:{wires}\:\mathrm{4}{cm} \\ $$$${apart}\:{carry}\:{equal}\:{electric}\:{currents} \\ $$$${and}\:{experience}\:{a}\:{force}\:{of}\:\mathrm{2}×\mathrm{10}^{−\mathrm{4}} {N}/{m}. \\ $$$${What}\:{is}\:{the}\:{magnitude}\:{of}\:{the} \\ $$$${electric}\:{current}\:{in}\:{each}? \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 30/Jul/18
(F/l)=((μ_0 i_1 i_2 )/(2Πa))   (F/l)=force per uni length  2×10^(−4) =((μ_0 i^2 )/(2Π×.04))   cslculate ...
$$\frac{{F}}{{l}}=\frac{\mu_{\mathrm{0}} {i}_{\mathrm{1}} {i}_{\mathrm{2}} }{\mathrm{2}\Pi{a}}\:\:\:\frac{{F}}{{l}}={force}\:{per}\:{uni}\:{length} \\ $$$$\mathrm{2}×\mathrm{10}^{−\mathrm{4}} =\frac{\mu_{\mathrm{0}} {i}^{\mathrm{2}} }{\mathrm{2}\Pi×.\mathrm{04}}\:\:\:{cslculate}\:… \\ $$

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