A wire carrying a current i is placed in a uniform magnetic field in the form of the curve y - a sin- x - L 0 - x - 2 L- The force acting on the wire isA- i B L-B- i B L -C- 2 i B LD- Zero

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Standard XII

Physics

Force on a Finite Wire

A wire carryi...

Question

A wire carrying a current i is placed in a uniform magnetic field in the form of the curve $y = a s i n (\frac{π x}{L}) 0 \leq x \leq 2 L .$ The force acting on the wire is

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Solution

The correct option is C

The given portion of the curved wire may be treated as a straight wire of length 2L which experiences a magnetic force $F_{m} = B i (2 L)$

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A wire carrying a current i is placed in a uniform magnetic field in the form of the curve y=a sin(πxL)0≤x≤2L. The force acting on the wire is

The correct option is C The given portion of the curved wire may be treated as a straight wire of length 2L which experiences a magnetic force Fm=Bi(2L)

A wire carrying a current i is placed in a uniform magnetic field in the form of the curve $y = a s i n (\frac{π x}{L}) 0 \leq x \leq 2 L .$ The force acting on the wire is

The correct option is C

The given portion of the curved wire may be treated as a straight wire of length 2L which experiences a magnetic force $F_{m} = B i (2 L)$