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Question: A wire PQRS carrying a current I run along three edges of a cube of side l as shown. There exists a ...

A wire PQRS carrying a current I run along three edges of a cube of side l as shown. There exists a uniform magnetic field of magnitude B along one of the sides of the cube. The magnitude of the force acting on the wire is–

A

Zero

B

IlB

C

2\sqrt { 2 }lB

D

2lB

Answer

2\sqrt { 2 }lB

Explanation

Solution

FPQ = 0 FQR = IlB FRS = IlB FQR and FRS are perpendicular to each other \ FNet = (IℓB)2+(IℓB)2\sqrt { ( \mathrm { I } \ell \mathrm { B } ) ^ { 2 } + ( \mathrm { I } \ell \mathrm { B } ) ^ { 2 } }