Physics, asked by kiru9945, 1 year ago

Two loops of radii 1:2 and have same magnetic moment calculate ratio of current

Answers

Answered by abhi178
2

given, Two loops of radii 1:2 and have same magnetic moment. we have to calculate ratio of currents.

we know, magnetic moment is given as M=ANI

where A is area of loop , N is number of turns and I is the current through the loop.

given, r_1:r_2=1:2......(1)

M_1=M_2 ......(2)

[ magnetic moments are same for both loops. ]

loop is circular in shape so, A = πr²

so, \frac{M_1}{M_2}=\frac{(\pi r_1^2)NI_1}{(\pi r_2^2)NI_2}

from equations

or, 1=\frac{r_1^2I_1}{r_2^2I_2}

or, \frac{I_1}{I_2}=\frac{r_2^2}{r_1^2}

or, \frac{I_1}{I_2} = (2/1)² = 4/1

hence, ratio of currents is 4 : 1

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