Question 126: Magnetism and Matter

Question

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

Accepted Answer

$$B = {{{\mu _0}NI} \over {2R}}$$
$${{{B_X}} \over {{B_Y}}} = {{{N_x}{R_y}} \over {{N_y}{R_x}}}$$
$$ = {{200 	imes 20} \over {400 	imes 20}} = {1 \over 2}$$

Answer

1 : 1

Answer

1 : 2

Answer

2 : 1

Answer

4 : 1

Magnetism and Matter

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

Choose the correct answer: