The voltage across an impedance in a network is V(s) = Z(s). I(s), where V(s), Z(s) and I(s) are the Laplace transform of the corresponding time functions v(t), z(t) and i(t). The voltage v(t) is

A. v(t) = z(t).i(t)

B. $$v\left( t \right) = \int\limits_0^t {i\left( \tau \right)} z\left( {t - \tau } \right)d\tau $$

C. $$v\left( t \right) = \int\limits_0^t {i\left( \tau \right)} z\left( {t + \tau } \right)d\tau $$

D. v(t) = z(t) + i(t)

Answer: Option B