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It depends on the nature of the load.

For inductive loads, the current will fall, because inductive reactance is directly-proportional to frequency.

For capacitive loads, the current will increase, because capacitive reactance is inversely-proportional to current.

For resistive loads, there will be very little change in current unless the frequency is changed substantially. This is because, at higher frequencies, the 'a.c. resistance', due to the 'skin effect', will increase.

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