Q: Is an Apple ACTIVE Mini DisplayPort to Dual-Link DVI Adapter the same thing as an old Mini-DP to DVI adapter?

Is an Apple ACTIVE Mini DisplayPort to Dual-Link DVI Adapter the same thing as an old Mini-DP to DVI adapter?

Will a different adaptor give me better resolution between my old computer and a new monitor?

Computer: MBP 15-inch Mid 2010

Monitor: Dell U2713H

Current cable: 20276 3dv ft1 DVI Digital Dual Link with a Apple Mini-DP to DVI adapter to get it to plug into my MBP.

Possible solution?: Apple ACTIVE Mini DisplayPort to Dual-Link DVI Adapter instead of my old adapter above?