Transfer function Of A Highpass Filter

[jyde]

Please how do i transform this transfer function of a highpass filter

H(w) = jwR2 / [ (R1R2/L) + jw(R1 + R2)] to

H(w) = [R2/(R1+R2)][jw/(jw+wc)]

wc is the corner freq.

The circuit consists of a voltage source Vs(t) ,R1 in series with R2||L,Vo collected on R2.

Thanks.

 

[I like Serena]

Please how do i transform this transfer function of a highpass filter

H(w) = jwR2 / [ (R1R2/L) + jw(R1 + R2)] to

H(w) = [R2/(R1+R2)][jw/(jw+wc)]

wc is the corner freq.

The circuit consists of a voltage source Vs(t) ,R1 in series with R2||L,Vo collected on R2.

Thanks.

Welcome to PF, jyde! We can draw R2 from the nominator.

What do you get for the denominator if you extract (R1+R2)?

 

[jyde]

The denominator will then be [{R1R2/L(R1+R2)} + jw](R1+R2)

 

[I like Serena]

Good.

So let's define wc=R1R2/L(R1+R2).

Does [{R1R2/L(R1+R2)} + jw] look like (jw+wc)?