Waste less time on Facebook — follow Brilliant.
×
Electricity and Magnetism

Capacitors and Transformers

Energy stored in a capacitor

         

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

The value of the permittivity constant is \(\varepsilon_0=8.85 \times 10^{-12} \text{ C}^2\text{/N}\cdot\text{m}^2.\)

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

The value of the permittivity constant is \(\varepsilon_0=8.85 \times 10^{-12} \text{ C}^2\text{/N}\cdot\text{m}^2.\)

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

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

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

×

Problem Loading...

Note Loading...

Set Loading...