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JEE Main 7 Jan 2020 Shift 1 Solved Paper

Section: Physics

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Question : 1

Total: 75

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 that 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 :

[7-Jan-2020 Shift 1]

AKε0
d
(1+
αd
2
)
AKε0
d
(1+(
αd
2
)2)
AKε0
d
(1+
α2d2
2
)
AKε0
d
(1+αd)

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