Problem 9: An electric current is flowing through a long cylindrical conductor with radius a = 0.35 m. The current density J= 5.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB ©theexpertta.com Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J. a Part (b) Express the magnitude of the magnetic field B at r in terms of the currenı through the imaginary cylinder Ir and its radius r. Part(c) Express B in terms of J and r Part (d) For r 0.5 a, calculate the numerical value of B in Tesla. Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms ofr, a and J Δ Part (f) Express the magnitude of the magnetic field, B, atr > a in terms of land Part (g) Express B in terms ofJ, a andr Δ Part (h) For r= 2 a, calculate the numerical value of B in Tesla. B(r-2a)- tan( cos0) cotan)asin) acos(0 sin 4 5 6 atan acotan sinhO cosh) tanh0 *1 23 0 cotanhO O Degrees Radians BACKSPACE Submit Hint I give up!

Problem 9: An electric current is flowing through a long cylindrical conductor with radius a = 0.35 m. The current density J= 5.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB ©theexpertta.com Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J. a Part (b) Express the magnitude of the magnetic field B at r in terms of the currenı through the imaginary cylinder Ir and its radius r. Part(c) Express B in terms of J and r Part (d) For r 0.5 a, calculate the numerical value of B in Tesla. Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms ofr, a and J Δ Part (f) Express the magnitude of the magnetic field, B, atr > a in terms of land Part (g) Express B in terms ofJ, a andr Δ Part (h) For r= 2 a, calculate the numerical value of B in Tesla. B(r-2a)- tan( cos0) cotan)asin) acos(0 sin 4 5 6 atan acotan sinhO cosh) tanh0 *1 23 0 cotanhO O Degrees Radians BACKSPACE Submit Hint I give up!

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Problem 9: An electric current is flowing through a long cylindrical conductor
with radius a = 0.35 m. The current density J= 5.5 A/m2 is uniform in the cylinder. In this
problem we consider an imaginary cylinder with radius r around the axis AB
©theexpertta.com
Part (a) When r is less than a, express the current inside the imaginary cylinder I,
in terms of r and J.
a Part (b) Express the magnitude of the magnetic field B at r in terms of the currenı
through the imaginary cylinder Ir and its radius r.
Part(c) Express B in terms of J and r
Part (d) For r 0.5 a, calculate the numerical value of B in Tesla.
Part (e) When r is greater than a, express the current inside the imaginary
cylinder in terms ofr, a and J
Δ
Part (f) Express the magnitude of the magnetic field, B, atr > a in terms of land
Part (g) Express B in terms ofJ, a andr
Δ
Part (h) For r= 2 a, calculate the numerical value of B in Tesla.
B(r-2a)-
tan(
cos0)
cotan)asin) acos(0
sin
4 5 6
atan acotan sinhO
cosh) tanh0
*1 23
0
cotanhO
O Degrees Radians
BACKSPACE
Submit
Hint
I give up!

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