Verified Solution • 2025–26 Session moderate

QJEEM22Ph4309: JEE Main 2022 Physics - Class 12 JEEM22Ph4309 Solution: and are the magnetic fields at the centre of two coils and…

BX\mathrm{B}_{X} and BY\mathrm{B}_{\mathrm{Y}} are the magnetic fields at the centre of two coils X\mathrm{X} and Y\mathrm{Y} respectively each carrying equal current. If coil XX has 200 turns and 20 cm20 \mathrm{~cm} radius and coil YY has 400 turns and 20 cm20 \mathrm{~cm} radius, the ratio of BXB_{X} and BYB_{Y} is :

Multiple Choice Options

  • A 1:01
  • B 1:02
  • C 2:01
  • D 4:01

Step-by-Step Verified Solution

B=μ0NI2RB = {{{\mu _0}NI} \over {2R}}

BXBY=NxRyNyRx{{{B_X}} \over {{B_Y}}} = {{{N_x}{R_y}} \over {{N_y}{R_x}}}

=200×20400×20=12= {{200 \times 20} \over {400 \times 20}} = {1 \over 2}

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