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Question:
The figure shows two identical parallel plate capacitors A and B of capacitances C connected to a battery. The key K is initially closed. The switch is now opened and the free spaces between the plates of the capacitors are filled with a dielectric constant 3. Then which of the following statement(s) is/are true?
The figure shows two identical parallel plate capacitors A and B of capacitances C connected to a battery. The key K is initially closed. The switch is now opened and the free spaces between the plates of the capacitors are filled with a dielectric constant 3. Then which of the following statement(s) is/are true?
Updated On: Aug 18, 2024
- When the switch is closed, the total energy stored in the two capacitors is CV2.
- When the switch is opened, no charge is stored in capacitor B.
- When the switch is opened, energy stored in capacitor B is \(\frac{3}{2}\) CV2.
- When the switch is opened, the total energy stored in capacitors is \(\frac{5}{3}\)CV2.
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The Correct Option is A, D
Solution and Explanation
The correct answer is/are option(s):
(A): When the switch is closed, the total energy stored in the two capacitors is CV2.
(D): When the switch is opened, the total energy stored in capacitors is \(\frac{5}{3}\)CV2.
(A): When the switch is closed, the total energy stored in the two capacitors is CV2.
(D): When the switch is opened, the total energy stored in capacitors is \(\frac{5}{3}\)CV2.
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Concepts Used:
Electrostatic Potential and Capacitance
Electrostatic Potential
The potential of a point is defined as the work done per unit charge that results in bringing a charge from infinity to a certain point.
Some major things that we should know about electric potential:
- They are denoted by V and are a scalar quantity.
- It is measured in volts.
Capacitance
The ability of a capacitor of holding the energy in form of an electric charge is defined as capacitance. Similarly, we can also say that capacitance is the storing ability of capacitors, and the unit in which they are measured is “farads”.
Read More: Electrostatic Potential and Capacitance
The capacitor is in Series and in Parallel as defined below;
In Series
Both the Capacitors C1 and C2 can easily get connected in series. When the capacitors are connected in series then the total capacitance that is Ctotal is less than any one of the capacitor’s capacitance.
In Parallel
Both Capacitor C1 and C2 are connected in parallel. When the capacitors are connected parallelly then the total capacitance that is Ctotal is any one of the capacitor’s capacitance.
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