Two magnets of equal magnetic moments M each are placed as shown in figure. The resultant magnetic moment is

Question

Two magnets of equal magnetic moments M each are placed as shown in figure. The resultant magnetic moment is (A) M (B) √3 M (C) √2 M (D) M/2

Tardigrade Admin · Accepted Answer

As, magnetic moments are directed along S N, angle between M and M is θ=120°. ∴ Resultant magnetic moment =√M2+M2+2 M cos 120° =√M2+ M2+2 M2(-1 / 2)=M

Q. Two magnets of equal magnetic moments $M$ each are placed as shown in figure. The resultant magnetic moment is

M

$3 M$

$2 M$

M/2

As, magnetic moments are directed along $SN$ , angle between $M$ and $M$ is $θ = 12 0^{\circ}$ .
$∴$ Resultant magnetic moment
$= M^{2} + M^{2} + 2 M cos 12 0^{\circ}$
$= M^{2} + M^{2} + 2 M^{2} (- 1/2) = M$

Q. Two magnets of equal magnetic moments M each are placed as shown in figure. The resultant magnetic moment is

M

3​M

2​M

M/2

As, magnetic moments are directed along SN, angle between M and M is θ=120∘. ∴ Resultant magnetic moment =M2+M2+2Mcos120∘​ =M2+M2+2M2(−1/2)​=M

Q. Two magnets of equal magnetic moments $M$ each are placed as shown in figure. The resultant magnetic moment is

$3 M$

$2 M$

As, magnetic moments are directed along $SN$ , angle between $M$ and $M$ is $θ = 12 0^{\circ}$ .
$∴$ Resultant magnetic moment
$= M^{2} + M^{2} + 2 M cos 12 0^{\circ}$
$= M^{2} + M^{2} + 2 M^{2} (- 1/2) = M$