See Image Below CAPAM Homework Help Ask A Q Thr C fi ou.edu law/dci19Oct99.probl
ID: 3900516 • Letter: S
Question
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Explanation / Answer
fourth cornor is at a distance of 5 cm from two wires
so magntic ield B due to satraight wire at adistance r is given by B =u0i/2pir
B1 due to one wire is = B1 = 4pi*10^-7 * 84/(2pi* 0.05) = 0.336 mT
B2 is also same , but acts at right angelt o B1
so Befff of these two is Beff^2 = B1^2 + B2^2 = sqrt 2 * B1
Beff = 1.414* 0.336 = 0.4751 mT
B3 due to diaginal wire is,
its diatcne is sqrt(5^2 + 5^2) = 1.414* 5 = 0.0707 m
so B3 = 4pi*10^-7 * 84/(2pi* 0.0707) = 0.2376 mT
thus finally Bnet = Beff + B3
Bnet = 0.4751+ 0.2376 = 0.7127 mT or 7.127*10^-4 T
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