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Question : 17
Total: 27
(a) Define mutual inductance and write its S.I. unit.
(b) A square loop of side 'a I 2 x I 1
(b) A square loop of side '
Solution:
(a) Definition of mutual inductance and S.I. unit
(b) Obtaining the expression for resultant force on the loop
(a) Mutual inductance equals the magnetic flux associated with a coil when unit current flows in its neighbouring coil.
Alternatively,
Mutual inductance equals the induced emf in a coil when the rate of change of current in its neighbouring coil is one ampere/ second.
S.I unit: henry( H )
(b) Force per unit length between two parallel straight conductors
F =
Force on the part of the loop which is parallel to infinite straight wire and at a distancex
F 1 =
(away from the infinite straight wire)
Force on the part of the loop which is at a distance( x + a )
F 2 =
(towards the infinite straight wire)
Net forceF = F 1 − F 2
F =
I 1 I 2 a [
−
]
F =
(away from the infinite straight wire)
(b) Obtaining the expression for resultant force on the loop
(a) Mutual inductance equals the magnetic flux associated with a coil when unit current flows in its neighbouring coil.
Alternatively,
Mutual inductance equals the induced emf in a coil when the rate of change of current in its neighbouring coil is one ampere/ second.
S.I unit: henry
(b) Force per unit length between two parallel straight conductors
Force on the part of the loop which is parallel to infinite straight wire and at a distance
(away from the infinite straight wire)
Force on the part of the loop which is at a distance
(towards the infinite straight wire)
Net force
(away from the infinite straight wire)
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