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  4. A wire ABCDEF (with each side of length L) is bent as shown in figure and carrying current I is placed in a uniform magnetic induction B parallel to positive y direction. What is the force experienced by the wire.

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Q. A wire ABCDEF (with each side of length L) is bent as shown in figure and carrying current I is placed in a uniform magnetic induction B parallel to positive y direction. What is the force experienced by the wire.Physics Question Image

Solution:

Imagine a conductor link at AF so that a closed loop is formed. A closed loop in a uniform magnetic field has no net force. $\therefore $ F = 0 Let $F_c$ be the force on the given wire and $F_i$ be the force on imaginary wire F = F$_c$ + F$_i$ = 0 or Fc = - F$_i$ But F$_i$ = BIL sin $90^{\circ}$ = BIL along negative z-axis $(Fleming's \, Left\, hand \, rule)$ $\therefore $ F$_c$ = BIL along positive z-axis