Question

5. Consider the following diagram. lo lo lo Io Front view 3-d view Four long wires are arranged in a square geometry. The two wires on the left hand side of the box are carrying a current lo out of the page (the bottom left wire) and into the page (the top left wire). The side of each box has a length of A. What is the magnetic field (magnitude and direction) along the center of the box? a. b. What currents (magnitude and direction) must be run through the other two wires to produce a zero Tesla magnetic field along the center of the box? c. What is the force per unit length experienced by the bottom left wire when all four wires are carrying those currents?

Answer 1

Lo LsinHsI 45 Bsin45 8 2- sight oument canwre mmira wire is aiven bt Right Hand a Dichan megmeie fed Direchtm Thmb Rule, put thL thumb 여 Ri t Hand m direchim 여 Current henthe direchom magnet!とfeld. apd of the Angers arves the direction nítude The directions 여 the molnetic field ane shown in faurel. The sine components ence out being equal andl epposite and cogine campents addup netic field at centre 2 Divechiom is towards left) For zeo-a1netic field at centre, the direchbn of huo wires mustbuch at hires initiolly. The current must be equal to and out 억 the oÎnct fields due to other are eaual ard apposite to Hhe fields ote b) paqe in fop night wire curvent must be eyal to o and into h ge ibottom ight wie

ASE 10 YT A eget fed at point 242 A 1,-I Force per unit lenam on biton lft wire, IFle 2. 22 A