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A 2.0 μF parallel-plate air-filled capacitor is connected across a 10 V battery. (a) Determine the...

  1. A 2.0 μF parallel-plate air-filled capacitor is connected across a 10 V battery.

(a) Determine the charge on the capacitor and the energy stored in the capacitor.

(b) An identical 2.0 μF parallel-plate air-filled capacitor is connected across a 5 V battery, and a dielectric slab with dielectric constant κ is inserted between the plates of the capacitor, completely filling the region between the plates, while the battery remains connected. The energy stored in this capacitor is four times that found in part (a). Determine the dielectric constant κ and the charge on the capacitor after the dielectric is inserted.

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