Figure 29-70 shows a cross section across a long cylindrical conductor of radius

Question

Figure 29-70 shows a cross section across a long cylindrical conductor of radius a = 1.98 cm carrying uniform current 38.6 A. What is the magnitude of the current's magnetic field at radial distance (a) 0.934 cm and (b) 3.03 cm? Please put final answer Answer in Tesla and show work.

Chapter 29, Problem 45 Figure 29-70 shows a cross section across a long cylindrical conductor of radius a = 1.98 cm carrying uniform current 38.6 A, what is the magnitude of the current's magnetic field at radial distance (a) 0.934 cm and (b) 3.03 cm? Figure 29-70 (a) Number (b) Number Answer a1: the tolerance is +/-5% Units Units Answer b1: the tolerance is +/-5% Click if you would like to Show Work for this question: Open Show Work

Explanation / Answer

here,

part A:

magnetic field B = ui/(2*3.14* R) * r^2/a^2

B = (4*3.14e-7 *38.6)/(2*3.14*0.00934) * ((0.934*0.934)/(1.98*1.98))

B = 1.83 * 10^-4 T (ANSWER)

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b) here magnetic field B = ui/(2*3.14*r)

B = (4*3.14e-7 * 38.6)/(2*3.14*0.0303)

B = 2.54 * 10^-4 T (ANSWER)

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