The reason why your first card is limited to 500 yuan is because you didn't provide enough economic proof when you applied, such as proof of work income, car, real estate license, etc.

If you still don't provide proof of financial resources, you can directly handle 2 cards, and the amount of 2 cards is still 500, and the amount of 500 will be shared between the two cards;

So you don't have to apply for a second card in the same bank, but you should provide enough financial proof to apply for increasing the fixed amount of 1 card at the bank counter;