yes, it processes faster but also takes more energy. two cores means two separate processors. Which means it takes twice as much battery power.
If you're asking about the car battery, the practical answer is "No."; the drain on the car battery would be negligible. The current used would be significantly less than 1 of your interior dome lights while the phone is charging, and once the phone is fully charged it (and the charger) would consume even less. If you're asking about the phone's battery, the only effect would be a charged battery. The process does not promote an unhealthy state for either battery in any practical or realistic scenario.
smart phone
Depending on the store, you could buy one for 10-40 It also depends on what phone you have. The only reason someone would need a phone battery would be because they lost it or they broke it in some way. The reason its unlikely for someone to buy a phone battery is because you can charge a phone unlike a normal battery.
It wouldnt work
the battery
A battery that can be refilled with the energy it has. If it is in a phone, when you charge your phone, you are recharging the battery in your phone.
This is a stupid thing to do. Charging it when the battery in it. What's the point!!!!!!!!!! It proberly would if you did because there is nothing there to charge!!!!
I would have to say the sidekick from T-mobile.
The phone is probaly already shorted out and nonfunctional, changing the battery would likely do nothing as the damage is already done.
I edited your question since mobile phones can not be "trained" . Well first thing you may have to do is to reduce brightness and to shut off vibration . The second thing you may do and will help in maintaining a long battery life is only chargin your phone when its battery low and keeping it charging till its full . It is recommended you dont take you phone of the plug until its full. Avoid small chargings , but in the same time remove the plug whenever your phone is fully charged since keeping it in the plug will reduce battery life.
A VTech battery is a battery that is used for your VTech wireless phone; the battery is basically going to power your phone, and allow you to continue to use the phone when it is not on the base.
The only way this would even be considerably possible, is if you had your phone connected to a phone charger.