Two short bar magnets of length 1 cm each have magnetic moments 1.20 Am2 and 1.00 Am2 respectively. They are placed on a horizontal table parallel to each other with their N poles pointing towards the South. They have a common magnetic equator and are separated by a distance of 20.0 cm. The value of the resultant horizontal magnetic induction at the mid-point O of the line joining their centres is close to (Horizontal component of earth's magnetic induction is 3.6 × 10

Engineering

Physics

Magnet and Magnetic Dipole Moment NEW

Question

Two short bar magnets of length 1 cm each have magnetic moments 1.20 Am² and 1.00 Am² respectively. They are placed on a horizontal table parallel to each other with their N poles pointing towards the South. They have a common magnetic equator and are separated by a distance of 20.0 cm. The value of the resultant horizontal magnetic induction at the mid-point O of the line joining their centres is close to (Horizontal component of earth's magnetic induction is 3.6 × 10^–5 Wb/m²)

2.56 × 10^–4 Wb/m²

3.50 × 10^–4 Wb/m²

3.6 × 10^–5 Wb/m²

5.80 × 10^–4 Wb/m²

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$B_{1} = \frac{µ_{0} M_{1} \sin 90 °}{4 {πr}^{3}}$

$B_{2} = \frac{µ_{0} M_{2} \sin 90 °}{4 {πr}^{3}}$

B = B₁ + B₂ + B_ext

$= \frac{µ_{0}}{4 π \times {(0 .1)}^{2}}$ (1.2 + 1) + 3.6 × 10^–5

= 10^–4 × 2.2 + 3.6 × 10^–5

= 25.6 × 10^–5 wb/m²