Question 223: Magnetism and Matter

Question

A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of 75o. One of the fields has a magnitude of 15 mT. The dipole attains stable equilibrium at an angle of 30o with this field. The magnitude of the other field (in mT ) is close to

Accepted Answer

For equilibrium,
net torque acting on dipole is = 0
$$ 	herefore $$   $$	au $$
1
= $$	au $$
2
$$ \Rightarrow $$   mB
1
sin$$	heta $$
1
= mB
2
sin$$	heta $$
2
$$ \Rightarrow $$   B
2
= B
1
$$ 	imes $$ $${{\sin {{30}^o}} \over {\sin {{45}^o}}}$$
=   15 $$ 	imes $$ $$\sqrt 2 $$ $$ 	imes $$ $${1 \over 2}$$ =
=  10.6 mT $$ \simeq $$ 11 mT

Answer

11

Answer

36

Answer

1

Answer

1060

Magnetism and Matter

A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of 75o. One of the fields has a magnitude of 15 mT. The dipole attains stable equilibrium at an angle of 30o with this field. The magnitude of the other field (in mT ) is close to

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