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The energy \(U_C\) stored in a capacitor is electrostatic potential energy and is thus related to the charge Q and voltage V between the capacitor plates. A charged capacitor stores energy in the electrical field between its plates.
The energy stored in a capacitor can be expressed in three ways: \(E_{\mathrm{cap}}=\dfrac{QV}{2}=\dfrac{CV^{2}}{2}=\dfrac{Q^{2}}{2C},\) where \(Q\) is the charge, \(V\) is the voltage, and \(C\) is the capacitance of the capacitor.
The energy stored on a capacitor can be expressed in terms of the work done by the battery. Voltage represents energy per unit charge, so the work to move a charge element dq from the negative plate to the positive plate is equal to V dq, where V is the voltage on the capacitor.
The energy U C U C stored in a capacitor is electrostatic potential energy and is thus related to the charge Q and voltage V between the capacitor plates. A charged capacitor stores energy in the electrical field between its plates. As the capacitor is being charged, the electrical field builds up.
Electric Potential and Electric Field. 17 Energy Stored in Capacitors. Learning Objectives. List some uses of capacitors. Express in equation form the energy stored in a capacitor. Explain the function of a defibrillator.
The energy stored on a capacitor can be calculated from the equivalent expressions: This energy is stored in the electric field.
Energy stored in a capacitor is electrical potential energy, and it is thus related to the charge Q and voltage V on the capacitor. We must be careful when applying the equation for electrical potential energy ΔPE = q Δ V to a capacitor.
