A circuit consists of three identical lamps connected to a battery as shown. The battery has some internal resistance. The switch S, originally open, is closed. a) What then happens to the brightness of lamp B? b) What happens to the brightness of lamp C? c) What happens to the current in the battery? d) What happens to the potential difference across lamp A? e) What happens to the potential difference across lamp C? f) What happens to the total power delivered to the lamps by the battery?