A transmission line is designed so it has self inductance, L = 7.0x10^-7 Hm^-1 & signal speed 70% of c 9speed of light)
Find characteristic impedance
Now
Z = √
(L/C
) (where C is capacitance, but shouldn't really matter just for the maths bit)
also
v = 1/ √LC
remembering
L = 7.0x10^-7 Hm^-1
v = 0.7c (c = 3x10^8 ms^-1)
7(3x10^8)/10 = 1/√
(7.0x10^-7 * C
)
so
C = √((10(7.0x10^-7))/(7*3x10^8))
C = √ 3.33x10^-15
C = 5.77x10^-8 F
Z = √L/C
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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Just trying to keep up.