Question

please answer all parts and show all work

SECTION 1 the diagram above shows segments of two long straight wires, carrying currents LO A and loc 9.20 A respectively. The distance between the wiresis D.6170 cm. d) What is the magnitude of the forenner unit length between these two wires both magnitude and direction? Answer: x 10 N/m (b) How far to the right of wirely is the total magnetic field due to both currents equal to zero? Answer: cm

Answer 1

Solution chta, 7.6 A 2 = 12 = 9.2 A the wires D: 67 am of two the force coires is Distance between calculating the re magnitu magnitude between these (a) NOW, length per unit gian Iz = 7.6A that a we know force per FK unit length is MO 2,12 : 877D gawes we get. all the substitute

2 6x107 * 7.6899 7 fle = 2x107x 7.629.2 - 2x107 x 69.92 DX107 x 10.4358 +9.087 x10-6 Nikon Fli = 210871x10€ Nm sight sight of wire o to the the how far (6) Now, calculating wire 1 is x from at distance B-0 bet : مال , صد D-x) 211 . 1 9:2 0.8260 * D-X

2 -0.8260 D- x = 0$260 (D-x) = 0.82601 - 0-82600 +0.8260 x = 0.8260) X(18260) - 0.8260X 6.7 260) = 5.5342. 5. 5342 1.8260 - 3103 cm (©) Here 2 = 3x10C total distance 7.8cm V = 35.4 m/sec NOW, calculating mong the the magnitude of the magnitude of magnetic force S + 9:2 XI 7.8 /0 1 6.7+7.8

12413 + 1.17948 B = 2X107 B = 2x10 + x10+ (0:52413 + 1.1948) - 2010** (1.70361) . 8.3:407 x 10T Force F = 9VB 35.4 x 3.407X10 magnetic - 3x10x - N F. 361.84 x 10"