In a capacitor, you have two plates, one is connected to a battery but other is not, how the other plate become charge ups.
The other plate of the capacitor becomes charged due to the process of electrostatic induction. When the first plate (connected to the battery) is charged, it creates an electric field around it. This electric field induces opposite charges on the second plate, even though it is not physically connected to the battery.
To better understand this process, we can break it down into steps:
1. Initially, both plates of the capacitor are neutral, meaning they don't carry any charge.
2. When the battery is connected to the first plate, it applies a voltage across the capacitor, creating an electric field between the plates.
3. Due to the electric field, the electrons in the second plate are repelled towards the far side of that plate, leaving behind an excess of positive charge on the near side.
4. The electric field from the first plate attracts the positive charges in the second plate, causing them to accumulate on the near side, thus creating an equal and opposite charge distribution.
5. The process continues until the electric potential difference between the plates reaches the same value as the potential difference provided by the battery. At this point, the capacitor is fully charged.
Therefore, even though the second plate is not physically connected to the battery, it becomes charged as a result of the electric field created by the first plate. This process is integral to the functioning of capacitors in various electronic circuits.