The amount of energy (U) stored in this spherical capacitor can be calculated using a simple formula: U = 1 2CV2 Here, (C) is the capacitance of the capacitor (how good it is at storing charge), and (V) is the voltage (the electric pressure pushing the charge). Think of the energy stored in a capacitor like water in a dam.
Therefore, the capacitance of the spherical capacitor is (7.08 pF). Problem 2: A spherical capacitor with an inner radius (r1 = 0.1 m) and an outer radius (r2 = 0.3 m) is charged to a potential difference of (V = 100 V) Calculate the energy stored in the capacitor. Solution: The energy (U) stored in a capacitor is given by: U = 1 2CV2
The field lines are perpendicular to the surfaces of the spheres and are stronger near the regions of higher charge density. Capacitance: The capacitance of a spherical capacitor depends on factors such as the radius of the spheres and the separation between them.
The electric field between the two spheres is uniform and radial, pointing away from the center if the outer sphere is positively charged, or towards the center if the outer sphere is negatively charged. A spherical capacitor is a space station with two layers: an inner habitat where astronauts live and an outer shell protecting them from space.
Therefore, the potential difference across the spherical capacitor is (353 V). Problem 4:A spherical capacitor with inner radius ( r1 = 0.05 m ) and outer radius ( r2 = 0.1 m) is charged to a potential difference of ( V = 200 V) with the inner sphere earthed. Calculate the energy stored in the capacitor.
Dielectric Medium: The space between the inner and outer spheres of a spherical capacitor is occupied by a dielectric material, serving a crucial role in the capacitor’s operation. This dielectric material functions to provide insulation between the two conductors while facilitating the formation of an electric field.
Capacitance of Spherical Capacitor | Channels for Pearson+
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I think that most of what you''ve done is correct, and you will have benefitted from this detailed calculation. However, as you probably realise, it''s unnecessarily complicated, and is unnecessarily restricted to a capacitor with spherical geometry.
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