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Question: The pole strength of 12 cm long bar magnet is 20 A m. The magnetic induction at a point 10 cm away f...

The pole strength of 12 cm long bar magnet is 20 A m. The magnetic induction at a point 10 cm away from the centre of the magnet on its axial line is [μ04π=10−7Hm−1]\left[ \frac { \mu _ { 0 } } { 4 \pi } = 10 ^ { - 7 } \mathrm { H } \mathrm { m } ^ { - 1 } \right]

A

1.17 x 10-3 T

B

2.20×10−3 T2.20 \times 10 ^ { - 3 } \mathrm {~T}

C

1.17 x 10-2 T

D

2.20×10−2 T2.20 \times 10 ^ { - 2 } \mathrm {~T}

Answer

1.17 x 10-3 T

Explanation

Solution

: On axial line, ,

Given, , 21=12 cm=0.12 m21 = 12 \mathrm {~cm} = 0.12 \mathrm {~m}

Pole strength , =20Am,d=10 cm=0.1 m= 20 \mathrm { Am } , \mathrm { d } = 10 \mathrm {~cm} = 0.1 \mathrm {~m}

Magnetic moment , m=20×0.12Am2\mathrm { m } = 20 \times 0.12 \mathrm { Am } ^ { 2 }

=1.17×10−3 T= 1.17 \times 10 ^ { - 3 } \mathrm {~T}