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A wire carries a current. Maintaining the same current it is bent first to form a circular plane coil of one turn which produces a magnetic field B at the centre of the coil. The same length is now bent more sharply to give a double loop of smaller radius. The magnetic field at the centre of the double loop, caused by the same current is

  1. 4B
  2. B/4
  3. B/2
  4. 2B

Correct answer: 4B

Solution

The magnetic field at the center of a circular coil is directly proportional to the number of turns squared and inversely proportional to the radius. When the wire is bent into a double loop, the number of turns doubles, and the radius becomes half. This results in a magnetic field that is 4 times the original field, B.

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