An inverter for converting a direct current flowing between two input lines into an alternating current flowing between two output lines includes first and second series circuits each including two switches configured to switch at a high frequency and of an inductance connected between the switches, wherein the two inductances are magnetically coupled. The inverter further includes diodes which lead from opposite sides of the inductances to a first intermediate point and diodes leading from a second intermediate point to the opposite sides of the inductances, and an unfolding circuit which forwards a direct current flowing between the intermediate points and consisting of sine-shaped half-waves to the output lines with a polarity changing half-wave by half-wave.