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The value of the characteristic impedance R0 in terms of R1 and R2 and R0 in the circuit shown below is?

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The value of the characteristic impedance R0 in terms of R1 and R2 and R0 in the circuit shown below is?

(a) R1+R2(R1+R0)/(R1+R0+R2)

(b) R1+ R2(R1+R0)/(R1+R0+R2)

(c) R2+ R2(R1+R0)/(R1+R0+R2)

(d) R0+R2(R1+R2)/(R1+R0+R2)

The question was posed to me in quiz.

Question is from Attenuators topic in division Filters and Attenuators of Network Theory

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Correct option is (b) R1+ R2(R1+R0)/(R1+R0+R2)

The best I can explain: The value of the characteristic impedance R0 in terms of R1 and R2 and R0 when it is terminated in a load of R0 is R0=R1 + R2(R1+R0)/(R1+R0+R2).

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