A very long coaxial cable consists of a solid cylindrical innerconductor of radius {R1} surrounded by an outer cylindricalconductor with inner radius {R2} and outer radius {R3}. The regionbetween the two conductors is filled with a waxlike insulatingmaterial to keep the conductors from touching each other.
Part A -
If the inner and outer conductors carry equal currents I inopposite directions, use Ampère's law to derive an expression forthe magnetic field as a function of r (the distance from thecentral axis) at points between the two conductors({R1}<r<{R2}).
B = ???
Part B -
If the inner and outer conductors carry equal currents I inopposite directions, use Ampère's law to derive an expression forthe magnetic field as a function of r (the distance from thecentral axis) at points outside the cable (r>{R3}).
B=???
A very long coaxial cable consists of a solid cylindrical innerconductor of radius {R1} surrounded by an outer cylindricalconductor with inner radius {R2} and outer radius {R3}. The regionbetween the two conductors is filled with a waxlike insulatingmaterial to keep the conductors from touching each other.
Part A -
If the inner and outer conductors carry equal currents I inopposite directions, use Ampère's law to derive an expression forthe magnetic field as a function of r (the distance from thecentral axis) at points between the two conductors({R1}<r<{R2}).
B = ???
Part B -
If the inner and outer conductors carry equal currents I inopposite directions, use Ampère's law to derive an expression forthe magnetic field as a function of r (the distance from thecentral axis) at points outside the cable (r>{R3}).
B=???