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Capacitor A is charged by a 120 V battery and capacitor B is charged by 100 V battery. If the energy stored in both the capacitors is the same then find the ratio of the capacitance of capacitor A to capacitor B.
  • a)
    36 : 25
  • b)
    25 : 36
  • c)
    5 : 6
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Capacitor A is charged by a 120 V battery and capacitor B is charged b...
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 signs 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 a semi-conductor called a dielectric.
Capacitance:
  • The property to store energy in form of charge is called capacitance.
  • The unit of capacitance is Farad.
  • The charge on the capacitor (Q) is directly proportional to the potential difference (V) between the plates,
​⇒ Q ∝ V
⇒ Q =  CV
Where C = capacitance
Energy stored in the capacitor:
 
  • If a capacitor of capacitance C is charged by a potential difference V, then the energy stored in the capacitor is given as,
CALCULATION:
Given VA = 120 V, VB = 100 V, and UA = UB
 
  • We know that if a capacitor of capacitance C is charged by a potential difference V, then the energy stored in the capacitor is given as,

By equation 1 for the capacitor A,

By equation 1 for the capacitor B,

By equation 2 and equation 3,

Hence option 2 is correct.
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Capacitor A is charged by a 120 V battery and capacitor B is charged by 100 V battery. If the energy stored in both the capacitors is the same then find the ratio of the capacitance of capacitor A to capacitor B.a)36 : 25b)25 : 36c)5 : 6d)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
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