Is that charger universal, or does it only work with your phone?

How to say “Is that charger universal, or does it only work with your phone?” in Japanese

In Japanese

その充電器(じゅうでんき)、汎用(はんよう)のやつ？それともそのスマホ専用(せんよう)？

Sono jūdenki, han'yō no yatsu? Soretomo sono sumaho sen'yō?

Is that charger universal, or does it only work with your phone? in other languages