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AgPIper
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Show that the energy associated with a conducting sphere of radius R and charge Q surrounded by a vacuum is
U = k*Q^2 / (2R)
thanks
U = k*Q^2 / (2R)
thanks
Last edited:
thanksThe energy stored in a spherical capacitor can be calculated using the formula E = (1/2)CV^2, where C is the capacitance and V is the voltage across the capacitor.
The energy stored in a spherical capacitor is affected by the capacitance and the voltage across the capacitor. It is also influenced by the distance between the two conducting plates and the material used to make the plates.
The energy stored in a spherical capacitor is directly proportional to the distance between the two plates. As the distance increases, the energy stored also increases, and vice versa.
The main difference between the energy stored in a spherical capacitor and a parallel plate capacitor is the shape of the plates. In a spherical capacitor, the plates are curved, whereas in a parallel plate capacitor, the plates are flat. This difference in shape also affects the capacitance and thus, the energy stored.
The energy stored in a spherical capacitor can be used in various applications, such as power supply for electronic devices, energy storage in electric vehicles, and power backup systems. It can also be used in medical devices and in research and development for energy storage solutions.