Part (g) For r = 2 a, calculate the numerical value of B in Tesla. An electric c

Question

Part (g) For r = 2 a, calculate the numerical value of B in Tesla.

An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m. The current density J= 1.5 A/m^2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. Randomized Variables a = 0.75 m J =1.5 A/m^2 Part (a) When r is less than a, express the current inside the imaginary cylinder in terms of r and J. Part (b) Express B in terms of J and r. Part (c) For r = 0.5 a, calculate the numerical value of B in Tesla. Part (d) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a and J. Part (e) Express the magnitude of the magnetic field, B, at r > a in terms of I and r. Part (f) Express B in terms of J, a and r. Part (g) For r = 2 a, calculate the numerical value of B in Tesla. B(r = 2a) = 1.414 * 10^-6

Explanation / Answer

formula for magnetic field

B = uo J a^2/ 2r

since r= 2a = 2( 0.75) = 1.5

B = 4pi * 10^-7 ( 1.5) ( 0.75)^2/2 (1.5)

=3.53* 10^-7 T

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