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2. A small solid conductor with radius a is supported by insulating, nonmagnetic disks on the axis of a thin-walled tube with inner radius b. The inner and outer conductors carry equal currents i in opposite directions. (a) Use Ampere's law to find the magnetic field at any point in the volume between the conductors. (b) Write the expression for the flux dØB through A a narrow strip of length 1 parallel to the axis, of width dr, at a distance r 2.0 mH 5.0 μF R from the axis of the cable and lying in a plane containing the axis. (c) Integrate your expression from part (b) over the volume between the two conductors to find the total flux produced by a current i in the central conductor. (d) Show that the inductance of a length 1 of the cable is L = 1 In (º). (e) Calculate the energy 2n stored in the magnetic field for a length 1 of the cable. (Problem 30.48) elle

2. A small solid conductor with radius a is supported by insulating, nonmagnetic disks on the axis of a thin-walled tube with inner radius b. The inner and outer conductors carry equal currents i in opposite directions. (a) Use Ampere's law to find the magnetic field at any point in the volume between the conductors. (b) Write the expression for the flux dØB through A a narrow strip of length 1 parallel to the axis, of width dr, at a distance r 2.0 mH 5.0 μF R from the axis of the cable and lying in a plane containing the axis. (c) Integrate your expression from part (b) over the volume between the two conductors to find the total flux produced by a current i in the central conductor. (d) Show that the inductance of a length 1 of the cable is L = 1 In (º). (e) Calculate the energy 2n stored in the magnetic field for a length 1 of the cable. (Problem 30.48) elle

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2. A small solid conductor with radius a is supported by insulating, nonmagnetic disks on the axis of a thin-walled tube with inner radius b. The inner and outer conductors carry equal currents i in opposite directions. (a) Use Ampere's law to find the magnetic field at any point in the volume between the conductors. (b) Write the expression for the flux dPB through A a narrow strip of length 1 parallel to S2 the axis, of width dr, at a distance r 2.0 mH 5.0 μF R from the axis of the cable and lying in a plane containing the axis. (c) Integrate your expression from part (b) over the volume between the two conductors to find the total flux produced by a current i in the central conductor. (d) Show that the inductance of a length 1 of the cable is L = 1In (2). (e) Calculate the energy 2n stored in the magnetic field for a length 1 of the cable. (Problem 30.48) ell
Transcribed Image Text:2. A small solid conductor with radius a is supported by insulating, nonmagnetic disks on the axis of a thin-walled tube with inner radius b. The inner and outer conductors carry equal currents i in opposite directions. (a) Use Ampere's law to find the magnetic field at any point in the volume between the conductors. (b) Write the expression for the flux dPB through A a narrow strip of length 1 parallel to S2 the axis, of width dr, at a distance r 2.0 mH 5.0 μF R from the axis of the cable and lying in a plane containing the axis. (c) Integrate your expression from part (b) over the volume between the two conductors to find the total flux produced by a current i in the central conductor. (d) Show that the inductance of a length 1 of the cable is L = 1In (2). (e) Calculate the energy 2n stored in the magnetic field for a length 1 of the cable. (Problem 30.48) ell
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