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STD 12 - 4. Moving charges and magnetism — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 4. Moving charges and magnetism4 Marks
MCQ
Two similar coils are kept mutually perpendicular such that their centres coincide. At the centre, find the ratio of the magnetic field due to one coil and the resultant magnetic field by both coils, if the same current is flown
  • ✓
    $1:$ $\sqrt 2 $
  • B
    $1:2$
  • C
    $2:1$
  • D
    $\sqrt 3 \,\,:\,\,1$
✓

Answer

Correct option: A.
$1:$ $\sqrt 2 $
a
(a) ${B_1} = {B_2} = B = \frac{{{\mu _0}}}{{4\pi }} \times \frac{{2\pi i}}{r}$
${B_{net}} = \sqrt 2 B$
$ \Rightarrow \frac{B}{{{B_{net}}}} = \frac{1}{{\sqrt 2 }}$

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