Question
Imagine that you have a metal wire bent into the shape of an equilateral triangle with...
Imagine that you have a metal wire bent into the shape of an equilateral triangle with side lengths of l. This triangle is carrying current, 1, in a direction clockwise around the triangle. Find the magnetic field (magnitude and direction) that the current produces at the center of the triangle. Hint: Use the Biot-Savart law to find the magnetic field for a finite straight wire. How does this help? -
Answers
het B D be the centre where have to calulate magnetic we Since from Biot-Sauant's low! Magnite field due to a finite life line will info Mo I (sino, & Sin & UIT r Ć OCE = 60 30° I LDEC = go° * O = 180 - (goro) = 60° B = Mo T (2 since) - Sun "Tr 45r for a equilateral triangle Distance Bo=2 l and now since DE = B = Mo I x3 x3 = 3B 4. I UIT I ЧТ АС due to other two arm (CB&BA) I also B = 6 330. I ut e mm Since magnetic field due to all three same direction (-k) into 7 Maguire field at centre 9 g Mo I into the the page ute pagewe used Biot savant low since ampere circuital law cannot be applied for a finite length of Conductan because there will be no Symmetry and hence won't be able to come out line Integral so we bound I to use Biot-savant low. are
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