- #1
VinnyCee
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Homework Statement
Show that a series LR circuit is a Low Pass filter if the output is taken across the resistor. Calculate the corner frequency, [itex]f_c[/itex], if L = 2mH and R = 10k[itex]\Omega[/itex].
Homework Equations
[tex]H(\omega)\,=\,\frac{V_0(t)}{V_i(t)}[/tex]
[tex]H\left(\omega_c\right)\,=\,\frac{1}{\sqrt{2}}[/tex]
[tex]f\,=\,\frac{\omega}{2\pi}[/tex]
The Attempt at a Solution
[tex]H(\omega)\,=\,\frac{R}{R\,+\,j\omega L}[/tex]
[tex]H(0)\,=\,1[/tex]
[tex]H(\infty)\,=\,0[/tex]
That does the "show" part. But now I don't know how to get the corner frequency.
[tex]\frac{1}{\sqrt{2}}\,=\,\frac{R}{R\,+\,j\omega L}[/tex]