A: Hello.

B: Hello. May I speak to Mina?
A: This is she.
B: Hi, Mina. I am Jake.
A: Hi, Jake. What's up?

(Is the expressions 'I am Jake' correct in a telephone conversation? Do we have to use 'This is jake'?)

"This is Jake" or "I am Jake" -- either will work just fine.

=)