Seriously? You really think that the purpose of charging for electricity is to be mean to poor people?
Electricity is generated by enormous, complicated machines. Those machines cost money to build and maintain. They consume massive amounts of coal or natural gas, which has to be transported in. They have to pay specialists to keep everything running. They need to have people on call 24/7/365 to maintain thousands of miles of wires.
All of that costs money.
There's a simple rule: Everyone pays for the electricity they consume.
The electrical power industry is highly regulated by the government. Utilities have to provide power to all areas, they can't overcharge people too far above their costs, and they have to give plenty of notice before rate increases or disconnection for non-payment.