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A parallel-plate capacitor having plate area 400 cm^2 and separation between the plates 1.0 mm is connected to a power supply of 100 V. A dielectric slab of thickness 0.5 mm and dielectric constant 5.0 is inserted into the gap. (a) Find the increase in electrostatic energy. (b) If the power supply is now disconnected and the dielectric slab is taken out, find the further increase in energy. (c) Why does the energy increase in inserting the slab as well as in taking it out?

A parallel-plate capacitor having plate area 400 cm^2 and separation between the plates 1.0 mm is connected to a power supply of 100 V. A dielectric slab of thickness 0.5 mm and dielectric constant 5.0 is inserted into the gap. (a) Find the increase in electrostatic energy. (b) If the power supply is now disconnected and the dielectric slab is taken out, find the further increase in energy. (c) Why does the energy increase in inserting the slab as well as in taking it out?

Grade:11

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
Sol. A = 400 cm2 = 4 × 10^–2 m^2 d = 1 cm = 1× 10^–3 m V = 160 V t = 0.5 = 5 × 10^–4 m k = 5 C = ε base 0A/d-t+t/k = 8.85 * 10^-12 * 4 * 10^-2/10^-3 -5 * 10^-4 +5*10^-4/5 = 35.4 * 10^-4/10^-3 -0.5

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