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We have proposed a fault current limiter (FCL) suppressing an overcurrent only by a flux flow resistance of a high temperature superconductor (HTS). If the fault current is interrupted within an allowable time ta after the fault occurs, the flux flow resistance type FCL can instantly recover to the superconducting state and pass a load current. In this paper, the volume Vr of the HTS in the FCL required to satisfy the specified limiting effect and ta was investigated theoretically. The volume Vr depends on the critical current density and the flux flow resistivity of the HTS. As the flow resistivity and/or critical current density increase, Vr can be reduced to obtain a certain current limiting effect. When ta is specified, Vr has a maximum value at a certain flux flow resistance. If both the limiting effect and ta are given, the required volume is constant and independent of critical current density or flux flow resistance.