Question

Part A Consider two long and parallel current carrying wires that are a distance 1.00 m away from each other, and carrying 80,0 mA and 36.0 mA currents. Assume that the origin of the coordinate system is on the 36.0 mA wire and its positive zavis is directed towards the 800 mA wire that is perpendicular to the wires. If these currents are in the opposite direction, find all locations where the net magnetic field of the two wires is zero. 180 AED n Submit Request Answer

Answer 1

Past B Given xx I = 36mA I2 = 80 mA 14 Im XX I pp. X XX, (1 x) So Maquete field will be zero between the two wise atpoint P Magushe field due to I & Iz at porut P & BI, + B12 20 > Mol - Mo 12 2DX [:d 20 : due to B1, 2 Biz is in 50-1) opp.disechon 80 36 x 1-2 -> 36-36 X -80% o 36 = 116x1 b = 36 116 & Location at x=0.31 m which magnetic field is zeo

Pasta im 11 = 36 in A I=80mA AI ok x A x es 80 =0 Magnetic field will be zero fore x 71 01XLO because the two magnetic field will caneel out here [x71] Let point of zero magnenc field is right of Iz le point p(x) & II Moll lol2 2 x 2A (x - 1) 36 xt 36r-36-802 → 36 = 14420 21 [ not possible let point of zew maquche field liesar point 'A (Left of 11 2 12) -7700 Mol Mol2 at x 2x+1) -0 x=-36 44 20

maximum ar point between mire Is 80 36 x => 364 + 36 -80x = 0 => 36= 440 36 44 is – 36 44 Point of zew maquetic field is Pasi C - Maquete field will be befestemt and wire 2 . maximum at ki Let B is + 2. Bnet - 101 208 Mol2 2*(1-x) 86 36 + = lo ax. [ x 1-2 80 for Bmax dB = 0 = 0 => - 36 dx x² (2-1)2 -) 36(24) 2=80x2 -) 36 2²72x+36=8042 > 44 x2 472x-36=0 Solving 2=0.40 (Accepted valie)