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A length of wire carries a steady curren...

A length of wire carries a steady current I. It is bent first to form a circular plane coil of one turn. The same length is now bent more sharply to give double loop of smaller radius. If the same current I is passed, the ratio of the magnitude of magnetic field at the centre with its first value is:

A

A quarter of its first value

B

Unaltered

C

Four times of its first value

D

A half of its first value

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • A length of wire carries a steady current. It is bent first to form a circular coil of one turn. The same length is now bent more sharply to give a double loop of smaller radius. The magnetic field at the centre caused by the same current is

    A
    double of its first value
    B
    quarter of its first value
    C
    four times of its first value
    D
    same as the first value
  • A length of wire carries a steady current. It is bent first to form a circular coil of one turn. The same length is now bent more sharply to give a double loop of smaller radius. The magnetic field at the centre caused by the same current is

    A
    double of its first value
    B
    quarter of its first value
    C
    four times of its first value
    D
    same as the first value
  • A wire of length L carries a steady current I. It is bent first to form a circular plane coil of one turn. The same length is now bent more sharply to give a double loop of smaller radius. The magnetic field at the centre caused by the same current is

    A
    four times of its first value
    B
    half of its first value
    C
    a quarter of its first value
    D
    unaltered
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