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GATE2019-20

A co-axial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\epsilon_{r1} = 2.$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\epsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of  $\epsilon_{r2}$ is _________.

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