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Which can store more energy: a 1. 0-μf capacitor rated at 250 v or a 470-pf capacitor rated at 3 kv?

Sagot :

Out of a 1. 0-μf capacitor rated at 250 v or a 470-pf capacitor rated at 3 kV , a 1. 0-μf capacitor rated at 250 v will have more capacitance than the other one .

A capacitor is a two-terminal electrical device that possesses the ability to store energy in the form of an electric charge. It consists of two electrical conductors that are separated by a distance. The space between the conductors may be filled by vacuum or with an insulating material known as a dielectric.

Work has to be done to transfer charges onto a conductor, against the force of repulsion from the already existing charges on it. This work is stored as a potential energy of the electric field of the conductor.

Energy stored in a capacitor1 = 1/2 * C1 * [tex]V1^{2}[/tex]

                                                 = 1/2 * ( 1 * [tex]10^{-6}[/tex]) * 250

                                                 = 31250 * [tex]10^{-6}[/tex] J

Energy stored in a capacitor2 = 1/2 * C2 * [tex]V2^{2}[/tex]

                                                   = 1/2 * ( 470 * [tex]10^{-12}[/tex] ) * [tex](3000)^{2}[/tex]

                                                   = 2115 * [tex]10^{-6}[/tex] J

capacitor 1 can store more energy  

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