Energy Stored By Capacitor || Electricity and Magnetism || B.Sc and BS
10.4 هزار بار بازدید -
3 سال پیش
-
The energy stored in a
The energy 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. When a charged capacitor is disconnected from a battery, its energy remains in the field in the space between its plates.
To gain insight into how this energy may be expressed (in terms of Q and V), consider a charged, empty, parallel-plate capacitor; that is, a capacitor without a dielectric but with a vacuum between its plates. The space between its plates has a volume Ad, and it is filled with a uniform electrostatic field E. The total energy of the capacitor is contained within this space. The energy density {u}_{E} in this space is simply {U}_{C} divided by the volume Ad. If we know the energy density, the energy can be found as {U}_{C}={u}_{E}\left(Ad\right). We will learn in Electromagnetic Waves (after completing the study of Maxwell’s equations) that the energy density {u}_{E} in a region of free space occupied by an electrical field E depends only on the magnitude of the field
Since the geometry of the capacitor has not been specified, this equation holds for any type of capacitor. The total work W needed to charge a capacitor is the electrical potential energy {U}_{C} stored in it, or {U}_{C}=W. When the charge is expressed in coulombs, potential is expressed in volts, and the capacitance is expressed in farads, this relation gives the energy in joules.
Since the geometry of the capacitor has not been specified, this equation holds for any type of capacitor. The total work W needed to charge a capacitor is the electrical potential energy {U}_{C} stored in it, or {U}_{C}=W. When the charge is expressed in coulombs, potential is expressed in volts, and the capacitance is expressed in farads, this relation gives the energy in joules.
#thebaseacademy
#electricity
#adeelakhtar
#EMTLectures
Previous Videos:
Capacitance of Cylindrical Capcitor
👉Capacitance of Cylindrical Capcitor |...
Capacitance of a Isolated Capacitor
👉Capacitance of a Isolated Capacitor |...
To gain insight into how this energy may be expressed (in terms of Q and V), consider a charged, empty, parallel-plate capacitor; that is, a capacitor without a dielectric but with a vacuum between its plates. The space between its plates has a volume Ad, and it is filled with a uniform electrostatic field E. The total energy of the capacitor is contained within this space. The energy density {u}_{E} in this space is simply {U}_{C} divided by the volume Ad. If we know the energy density, the energy can be found as {U}_{C}={u}_{E}\left(Ad\right). We will learn in Electromagnetic Waves (after completing the study of Maxwell’s equations) that the energy density {u}_{E} in a region of free space occupied by an electrical field E depends only on the magnitude of the field
Since the geometry of the capacitor has not been specified, this equation holds for any type of capacitor. The total work W needed to charge a capacitor is the electrical potential energy {U}_{C} stored in it, or {U}_{C}=W. When the charge is expressed in coulombs, potential is expressed in volts, and the capacitance is expressed in farads, this relation gives the energy in joules.
Since the geometry of the capacitor has not been specified, this equation holds for any type of capacitor. The total work W needed to charge a capacitor is the electrical potential energy {U}_{C} stored in it, or {U}_{C}=W. When the charge is expressed in coulombs, potential is expressed in volts, and the capacitance is expressed in farads, this relation gives the energy in joules.
#thebaseacademy
#electricity
#adeelakhtar
#EMTLectures
Previous Videos:
Capacitance of Cylindrical Capcitor
👉Capacitance of Cylindrical Capcitor |...
Capacitance of a Isolated Capacitor
👉Capacitance of a Isolated Capacitor |...
3 سال پیش
در تاریخ 1400/06/17 منتشر شده
است.
10,455
بـار بازدید شده