Please show me how to do this problem, I keep getting it wrongthanks. Solution T

Question

Please show me how to do this problem, I keep getting it wrongthanks.

Explanation / Answer

There are 2 solution methods. Both are shown below. METHOD#1: Magnetic Field along disc axis is inversely proportional to distance cubed {i.e., 1/x^3} from the disc center: B(@ x = ??)/B(@ x = 0.6 mm) = ((0.6e-3)^3)/x^3 ---->    (44.6e-6)/(43.2e-3) = ((0.6e-3)^3)/x^3 ---->    x = (((0.6e-3)^3)*(43.2e-3)/(44.6e-6) )^(1/3) ---->    x = 0.0059365 m ---->    {Distance FromSurface} = x -0.6e-3 =                  = (0.0059365) - 0.6e-3                  = 0.0053365 m                  = 5.3365 mm METHOD #2: B = 0*/(2*Pi*x^3) x = {Distance From Disk Center} We first determine the value of "" from given data: {B = 43.2 mT @ x = 0.6 mm}: ---->   (4*Pi*10^(-7))*()/(2*Pi*(0.6e-3)^3) = 43.2e-3 ---->   = 4.666e-5 Finally, using above value for "", we determine distance "x" at which "B" has required value of (44.6 µT): {B = 44.6 µT}: ---->   (4*Pi*10^(-7))*(4.666e-5)/(2*Pi*(x)^3) = 44.6e-6 ---->   x = 5.937e-3m ---->   {Distance FromSurface} =                 = x - 0.6e-3                 = (5.937e-3) - 0.6e-3                 = 0.005337 m                 = 5.337 mm .

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