Two capacitors with capacitances of 1.5 µf and 0.25 µf are connected in parallel. the system is connected to a 50 v battery. what electrical potential energy is stored in the 1.5 µf capacitor?

Respuesta :

The electrical potential energy stored in the 1.5 µf capacitor will be  1.875 *  [tex]10^{-3}[/tex] J

A capacitor stores it in its electric field. The total electrostatic potential energy stored in a capacitor is given by. where C is the capacitance, V is the electric potential difference, and Q the charge stored in the capacitor.

Electric potential energy stored in 1.5  µf capacitor will be = 1/2 * C * [tex]V^{2}[/tex]

C = capacitance  = 1.5  µf = 1.5 * [tex]10^{-6}[/tex] F

since , both the capacitors are in parallel hence , voltage will remain same along both the capacitors.

V = voltage = 50 V

Electric potential energy = 1/2 * C * [tex]V^{2}[/tex]

                                         = 1/2 * 1.5 * [tex]10^{-6}[/tex]  * [tex]50^{2}[/tex]

                                         = 1875 *  [tex]10^{-6}[/tex]  J

                                         = 1.875 *  [tex]10^{-3}[/tex] J

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