Electricity And Magnetism. An Elementary Text-Book, Theoretical And Practical
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These two expressions are so important that we will find them in another way.
Proposition 8. To find ike moment of the couple acting on a small magnet placed mth its centre at a point on the axis of a second small magnet, assuming the distance between the centres to be large compared with the dimensions oj" either.
S O N Fig. 94.
Let N'PS' (Fig. 94) be the second magnet placed with its centre at a point P in the direction of the axis SON of the first magnet.
^ Let OP = r and OPS' = B', let m' b...e the pole strength and 11' the length of the second magnet and U' its magnetic moment.
92] MAGNETIC CALCULATIONS 143 Then if JV'S' is small compared with OP the forces due to NS at iV', S' and P may be taken as equal, and each is equal to 2M/r^.
Thus we have to find the resultant of two equal and opposite parallel forces 2m'M/r^ at JV' and S' respectively.
Draw S'K parallel to IfP and iV'Z to meet S'K in Z at right angles to S'K.
The resultant of the two parallel forces is a couple whose moment is Now W'K=F'S'smF'S'K=2l'sme'.
What to read after Electricity And Magnetism. An Elementary Text-Book, Theoretical And Practical?
You can find similar books in the "Read Also" column, or choose other free books by Glazebrook, Richard, Sir, 1854-1935 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
These two expressions are so important that we will find them in another way.
Proposition 8. To find ike moment of the couple acting on a small magnet placed mth its centre at a point on the axis of a second small magnet, assuming the distance between the centres to be large compared with the dimensions oj" either.
S O N Fig. 94.
Let N'PS' (Fig. 94) be the second magnet placed with its centre at a point P in the direction of the axis SON of the first magnet.
^ Let OP = r and OPS' = B', let m' b...e the pole strength and 11' the length of the second magnet and U' its magnetic moment.
92] MAGNETIC CALCULATIONS 143 Then if JV'S' is small compared with OP the forces due to NS at iV', S' and P may be taken as equal, and each is equal to 2M/r^.
Thus we have to find the resultant of two equal and opposite parallel forces 2m'M/r^ at JV' and S' respectively.
Draw S'K parallel to IfP and iV'Z to meet S'K in Z at right angles to S'K.
The resultant of the two parallel forces is a couple whose moment is Now W'K=F'S'smF'S'K=2l'sme'.
What to read after Electricity And Magnetism. An Elementary Text-Book, Theoretical And Practical?
You can find similar books in the "Read Also" column, or choose other free books by Glazebrook, Richard, Sir, 1854-1935 to read onlineMoreLess
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