When there is a fast release of energy in any suitable fluid, a shock wave is produced. One of the ways to create shock waves in a laboratory environment is the use of an exploding wire system; a metallic wire transformed into plasma due to the action of a strong, above kiloamperes, and fast, under tens of microseconds, electrical current. Therefore, it has been used in many experiments to study shock waves with an energy release that can be considered instantaneous with respect to the shock wave evolution time. On the contrary, this work presents experimental results for the dynamics of a shock wave created by an exploding wire with an energy release dependent on time.