Question

For a network having 1 Ω resistor and 1 F capacitor in series, the impedance Z(s) is ____________

(a) \(\frac{s+1}{s}\)

(b) \(\frac{s+2}{s}\)

(c) \(\frac{s}{s+1}\)

(d) \(\frac{s}{s+2}\)

I have been asked this question in a job interview.

The question is from Laplace Transform of a Periodic Function topic in division Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

Correct choice is (a) \(\frac{s+1}{s}\)

For explanation: We know that the impedance, Z(s) is given by,

Z(s) = resistance + 1/capacitor

= 1 + \(\frac{1}{s}\)

= \(\frac{s+1}{s}\).