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?

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a)
36 : 25
b)
25 : 36
c)
5 : 6
d)
None of these

Correct answer is option 'B'. Can you explain this answer?

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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 V_A = 120 V, VB = 100 V, and U_A = U_B

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.

Answered by Infinity Academy · View profile

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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?

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