The space between the plates of a parallel plate capacitor is filled with a 'dielectric' whose 'dielectric constant' varies with distance as per the relation:
$K(x) = K_0 + \lambda x$ ( $\lambda =$ constant)
The capacitance $C,$ of the capacitor, would be related to its vacuum capacitance $C_0$ for the relation
The space between the plates of a parallel plate capacitor is filled with a 'dielectric' whose 'dielectric constant' varies with distance as per the relation:
$K(x) = K_0 + \lambda x$ ( $\lambda =$ constant)
The capacitance $C,$ of the capacitor, would be related to its vacuum capacitance $C_0$ for the relation
- [JEE MAIN 2014]
- A
$C\, = \,\frac{{\lambda d}}{{\ln \,(1 + {K_0}\lambda d)}}{C_0}$
- B
$C\, = \,\frac{{\lambda }}{{d.\ln \,(1 + {K_0}\lambda d)}}{C_0}$
- C
$C\, = \,\frac{{\lambda d}}{{\ln \,(1 + \lambda d/{K_0})}}{C_0}$
- D
$C\, = \,\frac{\lambda }{{d.\ln \,(1 + {K_0}/\lambda d)}}{C_0}$
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