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Magnetic Effects & Magnetism

JEE Main level, single correct, medium

57 of 276

Question 57 of 276

${B}_{X}$ and ${B}_{Y}$ are the magnetic field at the centre of two coils of two coils $X$ and $Y$ respectively, each carrying equal current. If coil $X$ has $200$ turns and $20cm$ radius and coil $Y$ has $400$ turns and $20cm$ radius, the ratio of ${B}_{X}$ and ${B}_{Y}$ is

Show answer and solution

Answer: (B) $1:2$

Magnetic field at the centre of a single coil is

B=\dfrac{{\mu }_{0}i}{2R}

N

number of loops are kept closely

B=N\left(\dfrac{{\mu }_{0}i}{2R}\right)

Therefore,

\dfrac{{B}_{x}}{{B}_{y}}=\dfrac{{N}_{x}}{{N}_{y}}

\Rightarrow \dfrac{{B}_{x}}{{B}_{y}}=\dfrac{1}{2}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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