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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.
25 Ιαν 2024 · Step 1: Write down the equation for energy stored in terms of capacitance C and p.d V. Step 2: The change in energy stored is proportional to the change in p.d. Step 3: Substitute in values
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 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.
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 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. Remember that ΔPE is the potential energy of a charge q going through a voltage Δ V.
