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Moving Charges and Magnetism

  1. A current loop consists of two identical semicircular parts each of radius R, one lying in the x-y plane and the other in x-z plane. If the current in the loop is i., the resultant magnetic field due to the two semicircular parts at their common centre is​​​
    1. μ0i
      2R
    2. μ0i
      2√2R
    3. μ0i
      2R
    4. μ0i
      4R
Correct Option: B

Magnetic fields due to the two parts at their common centre are respectively, ​

By =
μ0i
and = Bz =
μ0i
4R4R


Resultant field = √By² + Bz
=
μ0i
² +
μ0i
²
4R4R

= √2,
μ0i
=
μ0i
4R2√2R



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