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Standard XII

Physics

Coupling

Two spherical...

Question

Two spherical loops of radius r and 2r , have currents I and I/2 flowing them in clockwise and anti clockwise directions respectively. If their equivalent magnetic moments are m1 and m2 respectively, find the relation between m1 and m2

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Solution

The ratio here according to formula is I/2R

M1= I/2R

M2= (I/2)/(2X2R) ( because given radius is 2R and Current is I/2)

Therefore
M1/M2 = (I/2R)/(I/8R)
M1/M2= 4/1

Hence Ratio M1:M2= 4:1

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Two spherical loops of radius r and 2r , have currents I and I/2 flowing them in clockwise and anti clockwise directions respectively. If their equivalent magnetic moments are m1 and m2 respectively, find the relation between m1 and m2

The ratio here according to formula is I/2R M1= I/2R M2= (I/2)/(2X2R) ( because given radius is 2R and Current is I/2) Therefore M1/M2 = (I/2R)/(I/8R) M1/M2= 4/1 Hence Ratio M1:M2= 4:1

The ratio here according to formula is I/2R

M1= I/2R

M2= (I/2)/(2X2R) ( because given radius is 2R and Current is I/2)

Therefore
M1/M2 = (I/2R)/(I/8R)
M1/M2= 4/1

Hence Ratio M1:M2= 4:1