What is max output at what frequency does this occure What i

What is max output? at what frequency does this occure? What is this amplitude? What is this frequency?

Solution

When XL=XC

The output equals to input

H(f)=y(f)/x(f)=1

So the max value of H(f) is 1

XL=XC

sL=1/sc

s²=1/LC

put s=jw

(jw)²=1/LC

W²=1/LC

W=1/ (LC)^1/2

Finally frequency for which gain H(f) maximum is

F=1/2(LC)^1/2

When XL=XC

The output equals to input

H(f)=y(f)/x(f)=1

So the max value of H(f) is 1

XL=XC

sL=1/sc

s²=1/LC

put s=jw

(jw)²=1/LC

W²=1/LC

W=1/ (LC)^1/2

Finally frequency for which gain H(f) maximum is

F=1/2(LC)^1/2