Welcome to Flyertalk Bluesman78 ^
You do not have to exit security to walk from terminal E to B. Expect the walk to take 10 to 15 minutes.
Easy to get a cab outside the terminal or you might want to consider taking the SEPTA train to central Philly. The train takes about 20-25 minutes and a one way cash fare is $7.00. They run every 30 minutes. Cab fare with tip will be around $30.00.