Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Physics Capacitance Calculating the Capacitance
A parallel plate capacitor has plates of area A separated by distance ‘d’ between them. It is filled with a dielectric which has a dielectric constant varies as k (x) = k(1 + αx), where ‘x’ is the distance measured from one of the plates. If (αd <<1), the total capacitance of the system is best given by the expression:
1
\(\frac{A \varepsilon_0 k}{d}\left[1+\left(\frac{\alpha d}{2}\right)^2\right]\)
2
\(\frac{A k \varepsilon_0}{d}\left[1+\left(\frac{\alpha d}{2}\right)\right]\)
3
\(\frac{A \varepsilon_0 k}{d}\left[1+\left(\frac{\alpha^2 d}{2}\right)\right]\)
4
\(\frac{A k \varepsilon_0}{d}[1+\alpha d]\)
5
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