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## Homework Statement

Design a π section symmetrical attenuator to provide a voltage attenuation of 15 dB and a characteristic impedance of 600 Ω.

Z

_{c}=600Ω,[itex]\alpha[/itex]=15dB (attenuation)

Z

_{1},Z

_{3}=?

## Homework Equations

## The Attempt at a Solution

[itex]\alpha[/itex][dB]=20log(V

_{in}/V

_{out)}=15

[itex]\alpha[/itex]=5.623

V

_{in}/V

_{out}=(Z

_{1}+Z

_{2})/Z

_{1}

Z

_{c}=√Z

_{oc}Z

_{sc}

Z

_{oc}=(Z

_{1}(Z

_{1}+Z

_{3}))/(2Z

_{1}+Z

_{3})

Z

_{sc}=(Z

_{1}Z

_{3})/(Z

_{1}+Z

_{3})

Z

_{c}=Z

_{1}√1-2/(2+Z

_{3}/Z

_{1})

Z

_{1}D=600

Z

_{3}/Z

_{1}=4.623

D=0.835

Z

_{1}=718Ω

Z

_{3}=3320Ω

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