How much is a 1943B silver steel penny worth?

Well, there is no B mintmark, so it must be either a D or an S. If uncirculated with an S it would retail for $3.00 but from either other mint or in a lower condition it will be less than $1. They all list at 25 cents in Fine condition, but you'll have a hard time finding a dealer who will pay you more than a nickel.