How Do I Find the Peak Magnitude of H(jω) in a Circuit?

[jean28]

Hey guys. I'm doing some homework for my circuits class and was wondering if anyone could help me with this question.

How do I determine the value of ω will the magnitude of H(jω) be maximum??

In my case, the magnitude of the transfer function is (R/L)/ [sqrt((R+R_I)/L)² + ω²)]

 

[Ratch]

jean28,

Hey guys. I'm doing some homework for my circuits class and was wondering if anyone could help me with this question.

How do I determine the value of ω will the magnitude of H(jω) be maximum??

In my case, the magnitude of the transfer function is (R/L)/ [sqrt((R+RI)/L)2 + ω2)]

You do it by inspection. You can easily see that the maximum will occur when the denominator is at its smallest value. That happens when ω=0. Any other value lowers the magnititude of H(jω).

Ratch