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 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 of the HTS in the FCL required to satisfy the specified limiting effect and was investigated theoretically. The volume depends on

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... the critical current density and the flux flow resistivity of the HTS. As the flow resistivity and/or critical current density increase, can be reduced to obtain a certain current limiting effect. When is specified, has a maximum value at a certain flux flow resistance. If both the limiting effect and are given, the required volume is constant and independent of critical current density or flux flow resistance. Index Terms-Critical current, element volume, fault current limiter, flux flow resistance.