In a pure inductive circuit if the supply frequency is reduced to $$\frac{1}{2},\,$$ the current will

The correct answer is: The current will be reduced to one fourth.

In a pure inductive circuit, the current is inversely proportional to the frequency. This means that if the frequency is reduced to half, the current will be reduced to one fourth.

The following is a brief explanation of each option:

• Option A: The current will be reduced by half. This is incorrect because the current is inversely proportional to the frequency, not directly proportional to it.
• Option B: The current will be doubled. This is incorrect because the current is inversely proportional to the frequency, not directly proportional to it.
• Option C: The current will be four times as high. This is incorrect because the current is inversely proportional to the frequency, not directly proportional to it.
• Option D: The current will be reduced to one fourth. This is correct because the current is inversely proportional to the frequency.