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QJEEM23Ph1b2f: JEE Main 2023 Physics - Class 12 JEEM23Ph1b2f Solution: The electric current in a circular coil of four turns produces…

The electric current in a circular coil of four turns produces a magnetic induction 32 T at its centre. The coil is unwound and is rewound into a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be :

Multiple Choice Options

  • A 2 T
  • B 4 T
  • C 8 T
  • D 16 T

Step-by-Step Verified Solution

By given information

32=4×μ0i2r32 = 4 \times {{{\mu _0}i} \over {2r}} ..... (i)

Also, r′=4rr' = 4r ...... (ii)

and B′=1×μ0i2r′B' = 1 \times {{{\mu _0}i} \over {2r'}} .... (iii)

⇒B′=μ0i2(4r)=μ0i8r=18×16=2 T\Rightarrow B' = {{{\mu _0}i} \over {2(4r)}} = {{{\mu _0}i} \over {8r}} = {1 \over 8} \times 16 = 2\,T

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