Main Question or Discussion Point
Why the current entering and leaving the battery in an elctirc circuit needs to be same??plz provide a mathematical proof for this.
Hi harshraj216 and welcome to Physics Forums!Why the current entering and leaving the battery in an elctirc circuit needs to be same??plz provide a mathematical proof for this.
Have you actually measured this lack of current, you claim? Are you including the self capacitance of the battery? Some charge will still flow to the unconnected terminal.It is not really impossible. Bring one pole of an isolated battery close to a charged vandegraafgenerator, while keeping the battery in your hand, and making sure your hand is earthed. When the spark occurs, a current pulse will be entering the first pole of the battery while there is no current leaving at the other pole.
This also applies if you connected the poles of the battery by a high resistance (a simple 'electrical circuit'). The resistance should be high compared to the impedance for the current pulse to your hand.