# Charged Capacitor: Opposing Emf Battery Series

• vijayramakrishnan
In summary, the conversation discusses the relationship between charge and voltage in a capacitor, and how this can be mathematically represented. It is proposed that a charged capacitor can be represented as an uncharged capacitor connected in series with a battery of opposing emf. The idea is further explained through the use of a diagram and the suggestion to analyze the circuit's behavior with a resistor. The conversation ends with the suggestion to test the circuit's response to a step current.
vijayramakrishnan
can a charged capacitor mathematically be represented as uncharged capacitor connected in series with battery of opposing emf ?

Charge stored by a capacitor and teh voltage across it are two inseparable concepts. They exist together physically how mathematically things could be different then. Draw a diagram to show what you wish to propose.

Whenever analysing a simple linear circuit, see what it does to a resistor. Here, think of connecting a resistor across 2 black boxes, one of them has a charged capacitor, and the other one has a capacitor in series with a voltage source. Now you connect the switch on them both at the same time.
This is akin to a step current response. If you would get the same step current response on both the black boxes, both these black boxes would behave the same way for all conditions.

## 1. What is a charged capacitor?

A charged capacitor is a passive electronic component that stores electrical energy in the form of an electric charge. It consists of two conductive plates separated by an insulating material, known as a dielectric. When a voltage is applied across the plates, one plate accumulates positive charge while the other accumulates negative charge, resulting in a potential difference between the plates.

## 2. How does a charged capacitor work?

A charged capacitor works by storing electrical energy in its electric field. When a voltage is applied, the electrons from the negative plate are attracted to the positive plate, creating an electric field between the plates. The greater the voltage applied, the more charge is accumulated on the plates. When the capacitor is disconnected from the power source, the electric field remains, allowing the capacitor to hold its charge.

## 3. What is the Opposing Emf Battery Series configuration?

The Opposing Emf Battery Series configuration is a circuit arrangement in which two batteries are connected in series with a charged capacitor. The positive terminal of one battery is connected to the positive plate of the capacitor, and the negative terminal of the other battery is connected to the negative plate of the capacitor. This configuration allows for the capacitor to be charged to a higher voltage than either battery alone can provide.

## 4. What is the purpose of using a Charged Capacitor: Opposing Emf Battery Series?

The purpose of using a Charged Capacitor: Opposing Emf Battery Series is to increase the overall voltage of the circuit. This configuration takes advantage of the natural voltage drop that occurs when a battery is discharged, allowing the capacitor to provide additional voltage to the circuit. This is useful in applications where a higher voltage is needed, such as in electronic devices that require a boost in power for short periods of time.

## 5. How do you calculate the voltage of a Charged Capacitor: Opposing Emf Battery Series circuit?

The voltage of a Charged Capacitor: Opposing Emf Battery Series circuit can be calculated using the formula Vc = V1 + V2, where Vc is the capacitor voltage, V1 is the voltage of the first battery, and V2 is the voltage of the second battery. It is important to note that the polarity of the batteries must be opposite in order for the capacitor to charge to the full sum of the battery voltages.

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