Question

In the image, three very close parallel wires each carrying a current. The magnitude of the current in the first wire I; = 10 (A) and second wire 12 = 14 (A) and their directions are shown with black arrows in the image. The value of current 1 and its direction are unknown. The magnetic field B due to all three wires at point P which is 4 (m) away from wires is 4 X10? (T) with the direction of “coming out of the page" at point P. A) Using Amperes law, find the magnitude of the net enclosed current lencl B) Find the magnitude of the current 13 C) Show the direction of current 1, (in the image) 1, = ? 4 (m) Coming out of page P 1, = 10 (A) 1, -14 (A)

Answer 1

I,= 10A, 12-14 A, a Tenclosed. Та Iz k 4x107 T (h pre-out of the page. ta di A) sule, Ampese's Law 6 Bodł Mo I enclosed, Now, Distance of point from wises, p=4.0m. From Right hand thumb if thumb indicates the net eussent then other fous curled fingess will denote direction of magnetic field. In Ampese's Law are always in same disection, & Bar = Bje B x 200 and de So 11

Bxanr = Mo I enclosed Tendosed BX200 MO C 4x107 x 211 X 4 40 xror7 on, Ienclosed 11 8 Amp. ( in the disection of I ) BY Now, Ist Iz t Iz = I enclosed. 8, Iz JO +(-14) t li ON, Iz = 12 Amp e) . . Direction of Iz is shown in the figuse.