When a charged capacitor is disconnected from its source it will eventually discharge. This is because a small amount of charge leaks through the dielectric between the plates of the capacitor. Suppose we fill a parallel plate capacitor with a ceramic of relative permittivity \(\epsilon=2.1\) and resistivity \(\rho=1.4 \times 10^{13}~\Omega \cdot \mbox{m} \). The capacitor is charged by connecting it to a voltage source. How long will it take **in seconds** for the capacitor to lose half of the charge acquired after disconnecting it from the source?
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