(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Transmission line is designed so it has selfinductance, L = 7.0x10^-7 Hm^-1 & signal speed 70% of c

Find characteristic impedance

2. Relevant equations

Z = √L_{0}/C_{0}Ω

also

v = 1/ √L_{0}C_{0}

3. The attempt at a solution

So

L = 7.0x10^-7 Hm^-1(c = 3x10^8 ms^-1)

v = 0.7c

7(3x10^8)/10 = 1/√7.0 * C_{0}

so

C_{0}= √((10(7.0x10^-7))/(7*3x10^8))

C_{0}= √ 3.33x10^-15

C_{0}= 5.77x10^-8 F

Z = √L_{0}/C_{0}

Z = √7.0x10^-7/5.77x10^-8

Z = 3.4 Ω

Which isn't in the park as far as expected result goes, so AGAIN, please could you show me where I went wrong.

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# Homework Help: Characteristic impedance

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