Calculate the pole strength of a short bar magnet of length 5 cm which produces a neutral point 15 cm away from its centre on the equatorial line. The earth's horizontal component of magnetic intensity is 50muT at the given place

Asked by kumar.ashlesha | 13th Jul, 2015, 07:49: PM

Expert Answer:

begin mathsize 12px style Given colon straight H equals 50 space μT space equals 50 cross times 10 to the power of negative 6 end exponent space space straight T straight d equals 15 space cm equals 15 cross times 10 to the power of negative 2 end exponent space straight m 2 straight l equals 5 space cm equals 5 cross times 10 to the power of negative 2 end exponent space straight m Pole space strength comma space straight m equals ? Nutral space point space in space this space case space lie space on space euqtorial space point comma space such space that straight H equals fraction numerator straight mu subscript 0 over denominator 4 straight pi end fraction straight M over straight d cubed space space left parenthesis for space short space bar space magnet right parenthesis 50 cross times 10 to the power of negative 6 end exponent space equals fraction numerator straight mu subscript 0 over denominator 4 straight pi end fraction fraction numerator left parenthesis straight m 2 straight l right parenthesis over denominator straight d cubed end fraction equals 10 to the power of negative 7 end exponent fraction numerator straight m cross times 5 cross times 10 to the power of negative 2 end exponent over denominator open parentheses 15 cross times 10 to the power of negative 2 end exponent space close parentheses cubed end fraction straight m equals fraction numerator 50 cross times 10 to the power of negative 6 end exponent cross times open parentheses 15 cross times 10 to the power of negative 2 end exponent space close parentheses cubed over denominator 10 to the power of negative 7 end exponent cross times 5 cross times 10 to the power of negative 2 end exponent end fraction equals 33.75 space Am squared Pole space strength space of space straight a space short space bar space magnet space is space 33.75 space Am squared end style

Answered by Priyanka Kumbhar | 14th Jul, 2015, 09:12: AM