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If the distance between the plates of a parallel plate capacitor is increased by maintain the constant charge on the capacitor, then the energy density between the plates will:
  • a)
    Increase
  • b)
    Decrease
  • c)
    Remain unchanged
  • d)
    Can't say
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the distance between the plates of a parallel plate capacitor is in...
CONCEPT:
Capacitor:
  • The capacitor is a device in which electrical energy can be stored.
    • In a capacitor two conducting plates are connected parallel to each other and carrying charges of equal magnitudes and opposite sign and separated by an insulating medium.
    • The space between the two plates can either be a vacuum or an electric insulator such as glass, paper, air, or semi-conductor called a dielectric.​
​Parallel plate capacitor:
  • A parallel plate capacitor consists of two large plane parallel conducting plates separated by a small distance.
    • The space between the two plates can either be a vacuum or an electric insulator such as glass, paper, air, or semi-conductor called a dielectric.​
The energy stored in the capacitor is given as,

Energy density:
  • It is defined as the energy stored per unit volume of space between the plates.
  • Energy density u between the plates is given as,

Where C = capacitance of the capacitor, Q = charge on the plates, V = potential difference between the plates, and E = electric field intensity between the plates
EXPLANATION:
  • Energy density u between the plates is given as,
  • From the above equation, it is clear that the energy density of the parallel plate capacitors does not depend upon the distance between the plates of a parallel plate capacitor.
  • Therefore, if the distance between the plates of a parallel plate capacitor is increased by maintaining the constant charge on the capacitor, then the energy density between the plates will remain the same. Hence, option 3 is correct. 
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If the distance between the plates of a parallel plate capacitor is increased by maintain the constant charge on the capacitor, then the energy density between the plates will:a)Increaseb)Decreasec)Remain unchangedd)Cant sayCorrect answer is option 'C'. Can you explain this answer?
Question Description
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