A uniform magnetic field B of 0.3 T is along the positive Z-direction.  A rectangular loop (abcd) of sides 10 cm×5 cm carries a current I of 12 A.  Out of the following different orientations which one corresponds to stable equilibrium ?

 

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

 

Answers (1)

As we learnt in 

Magnetic moment (M) -

M=NiA

- wherein

N-number of turns in the coil 

i-current throughout the coil 

A-area of the coil 

 

 and 

 

 

Current loop as a magnetic dipole -

A current carrying circular coil behaves as a bar magnet whose magnetic monent is M

- wherein

 

 Magnetic moment of current carrying rectangular loop of Area A is given by M= NiA

 

Magnetic moment of current carrying coil is a vector and its direction is given by right hand thumb rule,

For rectangular loop,

\vec{B} at centre due to current in loop and  \vec{N} are always parallel

 


Option 1)

This is incorrect option.

Option 2)

This is incorrect option.

Option 3)

This is correct option.

Option 4)

This is incorrect option.

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