Electricity and Magnetism

Capacitors and Transformers

Energy stored in a capacitor

         

Consider a parallel-plate capacitor with a plate area of 1.90 cm21.90\text{ cm}^2 and the separation between two plates of 3.00 mm.3.00\text{ mm}. It is charged fully by a 8.00 V8.00\text{ V} battery and then disconnected from the battery. Then approximately how much work is required to pull apart the plates to a separation of 7.00 mm?7.00\text{ mm}?

The value of the permittivity constant is ε0=8.85×1012 C2/Nm2.\varepsilon_0=8.85 \times 10^{-12} \text{ C}^2\text{/N}\cdot\text{m}^2.

If a parallel-plate capacitor with plate area 40 cm240\text{ cm}^2 and plate spacing 1.2 mm1.2\text{ mm} is charged to a potential difference of 500 V,500\text{ V}, how much energy is stored in the capacitor?

The value of the permittivity constant is ε0=8.85×1012 C2/Nm2.\varepsilon_0=8.85 \times 10^{-12} \text{ C}^2\text{/N}\cdot\text{m}^2.

If two capacitors with respective capacitances 1.0μF1.0\,\mu\text{F} and 4.0μF4.0\,\mu\text{F} are connected in parallel across a 300 V300\text{ V} potential difference, how much total energy is stored in the two capacitors?

What capacitance is required to store an energy of 8 kWh8\text{ kW}\cdot\text{h} at a potential difference of 1000 V?1000\text{ V}?

In the above circuit, the potential difference across the capacitor arrangement is V=100 VV=100\text{ V} and the capacitance are C1=10.00μF,C2=5.00μF,C3=2.00μF.C_1=10.00\,\mu\text{F}, C_2=5.00\,\mu\text{F}, C_3=2.00\,\mu\text{F}. Approximately how much energies are stored for the capacitors 1(U11 (U_1) and 2(U22 (U_2), respectively?

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