A coaxial cable of length 200c𝑚 consists of a wire of diameter 0.1c𝑚 and an outer shell of diameter 0.3c𝑚. Find the capacitance of the cable.1 point101.2𝐹101.2𝑝𝐹10.12𝑝𝐹10.12𝑝Clear selection
Question
A coaxial cable of length 200c𝑚 consists of a wire of diameter 0.1c𝑚 and an outer shell of diameter 0.3c𝑚. Find the capacitance of the cable.1 point101.2𝐹101.2𝑝𝐹10.12𝑝𝐹10.12𝑝Clear selection
Solution
The question seems to be incomplete. However, I can guide you on how to calculate the capacitance of a coaxial cable.
The formula for the capacitance C of a coaxial cable is given by:
C = (2πε)/ln(b/a)
where:
- ε is the permittivity of the material between the conductors. For air or vacuum, ε = 8.85 x 10^-12 F/m.
- a is the radius of the inner conductor.
- b is the radius of the outer conductor.
- ln is the natural logarithm.
Given that the diameters are 0.1 cm and 0.3 cm, the radii would be 0.05 cm and 0.15 cm respectively. However, the units of ε are F/m, so we need to convert the radii to meters. Therefore, a = 0.05/100 m and b = 0.15/100 m.
Substitute these values into the formula to find the capacitance.
Please note that the question seems to be missing some information, such as the permittivity of the material between the conductors if it's not air or vacuum.
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