Question

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9. a) Define a current of magnitude 1 A. b) 6 A 10 A FIGURE 4.3 Two long straight parallel copper wires X and Y are placed at a distance r apart in FIGURE 4.3. X carries current of 6 A and Y carries current of 10 A in the opposite direction. (i) Find the location of a point from wire X, in term of r, where the resultant magnetic field will be zero. (ii) If the force per unit length acting on the wires is 2.0 x104 Nm calculate the value of r.

Answer 1

The current is defined as rate of electron flow. And 1 ampere (A) is defined as 1 coulomb charge flow in 1 sec \r\n (b) By amp hares law we can easily electronic the conductor. Field due to two since in between teo field in between two conductors cannot be zero. We know, contourintegral B middot dl = mu_0 I B integral dl = mu_0 I B times 2 pi x = mu_0 I Now for X wire I = 6 B_1 = 6 mu_0/2 pi x At this position, B_2 = 10 mu_0/2 pi (r + x0 This two fields are equal rightdoublearrow B_1 = B_2 or, 6 mu_0/2 pi x = 10 mu_0/2 pi (r + x) or, 3/x = 5/r + x or, 3r + 3x = 5x or, 5x - 3x = 3x or, 2x = 3x or, x = 3/2 x field would be zero. There is also another point beside y where field will also be zero.