Question

Z and Laplace transform are related by
1. s = ln z
2. \(s = \frac{ln z}{T}\)
3. s = z
4. \(s = \frac{T}{ln z}\)

Answer 1

Correct Answer - Option 2 : \(s = \frac{ln z}{T}\)

We know,

Z = e^ST

Taking log on both sides, we get

ln(Z) = ln(e^ST)

ln(Z) = ST

\( S = \frac{{\ln \left( Z \right)}}{T}\)

Option 2 is the right answer.