Question
Download Solution PDFA certain cable has an insulation of relative permittivity = 4. If the insulation is replaced by one of relative permittivity = 2, the capacitance of the cable will become
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFWe know that
\(Capacitance = C = \frac{{ϵ}A}{d}\)
Also, ϵ = ϵ0 ϵr
∴ \(C = \frac{{ϵ_0 ϵ_r}A}{d}\)
∴ C ∝ ϵr
Where, ϵr = Relative permittivity
ϵ0 = Absolute permittivity
A = Cross-sectional Area
d = Separation between the two layers or plates
So that, if relative permittivity (ϵr) becomes half then the capacitance of the cable will also become half.Last updated on May 28, 2025
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