a circular ring of radius R has linear charge distribution of lamda.Tt isplaced in a x-y plane such that its axis coincides with the z axis a)show that 'E' at distance 'z' from the origin is equivalent to that of point charge situated at origin for zR b)Find the distance zmax where E is maximum

Question

a circular ring of radius R has linear charge distribution of lamda.Tt isplaced in a x-y plane such that its axis coincides with the z axis a)show that 'E' at distance 'z' from the origin is equivalent to that of point charge situated at origin for z>>R b)Find the distance zmax where E is maximum

Shivansh · Answer

1)It can be written as E = (kQ/x^2)(1/(1+(a/x)^2)^1.5 for x>>a , the term a/x will reduce to 0 2) It becomes maximum at x= 0.707a

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a circular ring of radius R has linear charge distribution of lamda.Tt isplaced in a x-y plane such that its axis coincides with the z axis a)show that 'E' at distance 'z' from the origin is equivalent to that of point charge situated at origin for z>>R b)Find the distance zmax where E is maximum

a circular ring of radius R has linear charge distribution of lamda.Tt isplaced in a x-y plane such that its axis coincides with the z axis a)show that 'E' at distance 'z' from the origin is equivalent to that of point charge situated at origin for z>>R b)Find the distance zmax where E is maximum

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a circular ring of radius R has linear charge distribution of lamda.Tt isplaced in a x-y plane such that its axis coincides with the z axis a)show that 'E' at distance 'z' from the origin is equivalent to that of point charge situated at origin for z>>R b)Find the distance zmax where E is maximum

a circular ring of radius R has linear charge distribution of lamda.Tt isplaced in a x-y plane such that its axis coincides with the z axis a)show that 'E' at distance 'z' from the origin is equivalent to that of point charge situated at origin for z>>R b)Find the distance zmax where E is maximum

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