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Applications involving charged particles moving in a magnetic field

Question

The rectangular coil having 100 turns is placed in a uniform magnetic field of 0.05j^ Telsa as shown in figure. The torque acting on the loop is  p×103Nmk^ . find p

Moderate
Solution

The magnetic dipole moment of the current carrying coil is given by

  M=NIAn^ =100×0.5×0.08×0.04i^=0.16i^Am2
The torque acting on the coil is
 τ=M×B=Mi^×j^B
 =16×102×0.05k^
 =8×103(Nm)k^.



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