I am here now to discuss about the Energy stored in Capacitor
Energy Stored In a Capacitor :
Consider a parallel plate Capacitor it initially uncharged so that the initial potential difference across the plates is zero
Now imagine that the Capacitor is connected to a battery which develops a maximum charge "q" and a final potential across the plates is "V"
Since the Capacitor is charged linearly the q-V graph is straight line passing through the origin
Since the initial potential difference is zero, the average potential difference during the charging process
= (0+V)
= V/2
Energy Stored U = V/2 ×q = 1/2 qV
The energy stored in the Capacitor can be expressed in alternate forms
•It is clear from the above expression that energy stored increases with increase of potential difference.
Energy Density :
The energy stored in the Capacitor can be considered as being stored in the Electric field created between the plates as the Capacitor is charged
Consider a parallel plate Capacitor with Area of Plate "A" and separation "d"
Energy stored
U = 1/2 CV^2
The energy stored per unit volume is called energy Density (u) since the volume of parallel plate is 'Ad'
Related Links :
Capacitor & Capacitance
Capacitance of parallel plate Capacitor
 |
| Capacitor |
Consider a parallel plate Capacitor it initially uncharged so that the initial potential difference across the plates is zero
Now imagine that the Capacitor is connected to a battery which develops a maximum charge "q" and a final potential across the plates is "V"
Since the Capacitor is charged linearly the q-V graph is straight line passing through the origin
 |
| q-V Characteristics |
= (0+V)
= V/2
Energy Stored U = V/2 ×q = 1/2 qV
The energy stored in the Capacitor can be expressed in alternate forms
Energy Density :
The energy stored in the Capacitor can be considered as being stored in the Electric field created between the plates as the Capacitor is charged
Consider a parallel plate Capacitor with Area of Plate "A" and separation "d"
 |
| Parallel plate Capacitor |
U = 1/2 CV^2
The energy stored per unit volume is called energy Density (u) since the volume of parallel plate is 'Ad'
Therefore energy Density ( i.e Electric field energy stored per unit volume ) in any region of space is directly proportional to the square of the Electric field Intensity in the region
Related Links :
Capacitor & Capacitance
Capacitance of parallel plate Capacitor
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