With the power always connected to the same supply voltage V, that remains the potential difference between the plates. The energy stored is (1/2) C V^2. C must increase by a ratio 2.74/1.95 = 1.405
That equals the diectric constant of the gap material.
When an air capacitor with a capacitance of 300 nF (1 {\rm nF} = 10^{-9}\;{\rm F}) is connected to a power supply, the energy stored in the capacitor is 1.95×10−5 J. While the capacitor is kept connected to the power supply, a slab of dielectric is inserted that completely fills the space between the plates. This increases the stored energy by 2.74×10−5 J.
What is the potential difference between the capacitor plates?
What is the dielectric constant of the slab?
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