A coaxial cable consists of a long conducting solid cylindrical rod of radius R₁ with a positive linear charge density (

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A Coaxial Cable Consists Of A Long Conducting Solid Cylindrical Rod Of Radius R With A Positive Linear Charge Density 1 (60.02 KiB) Viewed 51 times

A coaxial cable consists of a long conducting solid cylindrical rod of radius R₁ with a positive linear charge density (charge per unit length) of +λ, surrounded by a long conducting cylindrical shell of radius R₂ with a linear charge density of -A. (a) [2 points] Use Gauss law to calculate the electric field at a point outside the cable (at a distance from the center with />R). (b) [4 points] Use Gauss law to show in detail that, at points between the shell and the rod (located a distance from the center, with R <r<R) the electric field has a magnitude E = 2860 (c) [4 points) Calculate the potential difference V₁ = V(R₁)-V (R₂) in volts between the conductors if the charge density is λ = 2 and the coaxial cable dimensions are R₁ = 2 cm and R₂ = 6 cm.