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A bar magnet of magnetic moment 10 Am2 has a cross sectional area of 2.5 × 10^−4 m2. If the intensity of magnetisation of magnet is 10^6 A/m, the losgth oft bar magnet is ______. - Physics

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Question

A bar magnet of magnetic moment 10 Am2 has a cross sectional area of 2.5 × 10−4 m2. If the intensity of magnetisation of magnet is 106 A/m, the losgth oft bar magnet is ______.

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  • 2 cm

  • 4 cm

  • 6 cm

  • 8 cm

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Solution

A bar magnet of magnetic moment 10 Am2 has a cross sectional area of 2.5 × 10−4 m2. If the intensity of magnetisation of magnet is 106 A/m, the losgth oft bar magnet is 4 cm.

Explanation:

Given: Magnetic moment (M) = 10 Am2

Area of cross-section (A) = 2.5 × 10−4 m2

Intensity of magnetisation (I) = 106 A/m

By using the formula for the magnetic moment:

M = I × A × L

L = `M/(I A)`

= `10/((10^6) (2.5 xx 10^-4))`

= `10/250`

= 0.04 m

= 4 cm

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