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Physics-

General

Easy

Question

The distance between the poles of a horse shoe magnet is 0.1 m and its pole strength is 0.01 amp-m. The induction of magnetic field at a point midway between the poles will be

$2 \times 1 0^{- 5} T$
$4 \times 1 0^{- 6} T$
$8 \times 1 0^{- 7} T$
Zero

The correct answer is: $8 cross times 1 0 to the power of negative 7 end exponent T$

Net magnetic field at mid point P, $B equals B subscript N end subscript plus B subscript S end subscript$
where $B subscript N end subscript equals$ magnetic field due to N- pole
$B subscript S end subscript equals$ magnetic field due to S- pole

$B subscript N end subscript equals B subscript S end subscript equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction fraction numerator m over denominator r to the power of 2 end exponent end fraction$
$equals 1 0 to the power of negative 7 end exponent cross times fraction numerator 0.01 over denominator open parentheses fraction numerator 0.1 over denominator 2 end fraction close parentheses to the power of 2 end exponent end fraction equals 4 cross times 1 0 to the power of negative 7 end exponent T$
$therefore B subscript n e t end subscript equals 8 cross times 1 0 to the power of negative 7 end exponent T.$

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