Capacitor with Dielectric (Battery Connected)

Capacitor with Dielectric (Battery Connected)

### Conditions

Potential difference remains constant:

$$V=constant$$

### Relations

Charge:

$$Q'=KQ$$

Capacitance:

$$C'=KC$$

Energy:

$$U'=KU$$

### Terminologies

- Q' → New charge.

- C' → New capacitance.

- U' → New energy.

### Usage

- Used when dielectric is inserted without disconnecting battery.