Consider a long cylindrical wire with radius a = 2.0 cm that is coaxial with a conducting cylindrical shell with inner radius b = 6.0 cm. If the region between a r1, and L and q are the length and charge of the capacitor, respectively.

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Consider a long cylindrical wire with radius a = 2.0 cm that is coaxial with a conducting cylindrical shell
with inner radius b = 6.0 cm. If the region between a <r < 3.5 cm is filled with a dielectric material
with k1 = 1.4 and the region between 3.5 cm < r < b is filled with a different dielectric material with
K2 = 1.6, what is the capacitance per unit length of the configuration?
Recall that the equation for the potential difference between two radial measurements, rı and r2, in the
region between the inner and outer conductor will be equal to:
r2
In
r1
()
AV
2T€, L
where r2 > r1, and L and q are the length and charge of the capacitor, respectively.
Transcribed Image Text:Consider a long cylindrical wire with radius a = 2.0 cm that is coaxial with a conducting cylindrical shell with inner radius b = 6.0 cm. If the region between a <r < 3.5 cm is filled with a dielectric material with k1 = 1.4 and the region between 3.5 cm < r < b is filled with a different dielectric material with K2 = 1.6, what is the capacitance per unit length of the configuration? Recall that the equation for the potential difference between two radial measurements, rı and r2, in the region between the inner and outer conductor will be equal to: r2 In r1 () AV 2T€, L where r2 > r1, and L and q are the length and charge of the capacitor, respectively.
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