Can I use my old 45W Magsafe power supply with my new Macbook air?

I just bought the new macbook air and I use the original Magsafe2 power supply provided with the new air at work. However, when I take my new air at home, I thought that I can use my old 45W Magsafe power supply and so I would not need to carry also a power supply cord.
But I noticed that although the power provided by both power supplies is the same (45W) the voltage and the amperage is different. Is this a problem? Of course, if there is any problem with the voltage all what I need is the magsafe to magsafe2 adaptor.
Thank you
Nicolas B.

Apple 45W MagSafe 2 Power Adapter for MacBook Air

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