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A Deflection Magnetometer is Placed with Its Arms in North-south Direction. How and Where Should a Short Magnet Having M/Bh = 40 a M2 T−1 Be Placed So that the Needle Can Stay in Any Position? - Physics

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प्रश्न

A deflection magnetometer is placed with its arms in north-south direction. How and where should a short magnet having M/BH = 40 A m2 T−1 be placed so that the needle can stay in any position?

बेरीज

उत्तर

Given : 

Ratio , `M/B_H = 40 "Am"^2"/"T`

Since the magnet is short, l can be neglected.

So, using the formula for `M/B_H` from the magnetometer theory and substituting all values, we get 

`M/B_H = (4pi)/(u_0) (d^3)/2 = 40`

⇒ `d^3 = 40 xx 10^-7 xx 2`

⇒ `d^3 = 8 xx 10^-6`

⇒ `d = 2 xx 10^-2  "m" = 2  "cm"`

Thus, the magnet should be placed in such a way that its north pole points towards the south and it is 2 cm away from the needle.

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पाठ 14: Permanent Magnets - Exercises [पृष्ठ २७८]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
पाठ 14 Permanent Magnets
Exercises | Q 20 | पृष्ठ २७८

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