I have searched and find that the transfer function will be I2(s) /E(s)Before you can possibly find the transfer function, you need to know what is being transferred. Which signal is your input and which signal is your output?
So now it is just a circuit analysis problem. What is I2(s)? Divide that by E(s). There's your transfer function.I have searched and find that the transfer function will be I2(s) /E(s)