The transform of the square wave can be represented as

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The transform of the square wave can be represented as—

1. _s
  1 + e^–as
2. _s
  s(1 + e^–as)
3. _s
  s(1 + e^+as)
4. _s
  s(1 - e^–as)

Correct Option: B

In order to calculate the L.T. of periodic square wave use the relation given below.

V(s) =	V₁(s)
	1 − e ^{−T^s}

where V₁ (s) = Laplace transform of the single wave (i.e. first wave)
T = Time period of the given wave
Calculation for V1 (s):
V₁ (t) = u (t) – u (t – a)
taking L.T. Both sides

V₁(s) =	1	−	1	e^−as
	s		s

V(s) =	(1 −e^−as)
	s(1 −e^−as)(1 +e^−as)

	_s
	1 + e^–as

	_s
	s(1 + e^–as)

	_s
	s(1 + e^+as)

	_s
	s(1 - e^–as)