A coaxial cable (see the figure (Figure 1) ) consists of a 1.0 mm -diameter inne

Question

A coaxial cable (see the figure (Figure 1) ) consists of a 1.0 mm -diameter inner conductor and a 0.20-mm-thick outer conductor with interior diameter 1.6 cm . A 95 mAcurrent flows down the inner conductor and back along the outer conductor.

Part A

Find the magnetic field strength 0.10 mm from the cable axis.

Express your answer using two significant figures

Part B

Find the magnetic field strength 5.0 mm from the cable axis.

Express your answer using two significant figures.

Part C

Find the magnetic field strength 2.0 cm from the cable axis.

Express your answer using two significant figures.

Explanation / Answer

magetic field at x = 0.1 mm, i.e x< a

Closed integral B.dL = uo i

B = uo i x/(2pi a^2

B = 4*3.14 * 1e-7 * 0.095 * 0.0001/(2*3.14 * 0.5e-3* 0.5 e -3)

B = 7.6 e -6 Tesla

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B at x = 5 mm is

B = uoi/2pi x

B = 4*3.14 * 1e-7 * 0.095 /(2*3.14 *5e-3)

B = 3.8 *10^-6 Tesla

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B = uoi /2pi x

B = 4*3.14 * 1e-7 * 0.095 /(2*3.14 * 2 e-2)

B = 0.9 e -6 Tesla

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