Given a current segment which flows along the edges of a cube as shown in the fi

Question

Given a current segment which flows along the edges of a cube as shown in the figure. The conventional Cartesian notation of (a , J (a unit vector along the positive y axis), and k (a unit unit vector along the positive r axis) vector along the positive z axis), is used. flows along the path A CDEG The cube has sides of length a. The current There is a uniform magnetic field B = Bj. Find the direction F-_ of the resul- tant magnetic force on the current segment ACDEG due to the external magnetic field.

Explanation / Answer

magnetic force Fb = I*( L x B)

given B = Bj

for segment AC L = ak

Fac = I*( a k x B j )

Fac = -I*a*B i

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for segment CD L = aj

Fcd = I*( a j x B j )

Fcd = 0

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for segment DE L = - a i

Fde = I*( -a i x B j )

Fde = -I*a*B k

------------------------------

for segment EG L = ak

Fde = I*( -a k x B j )

Fde = I*a*B i

F = Fac + Fcd + Fde + Feg

F = -I*a*B i + 0 - I*a*B k + I*a*B i

F = -I*a*B k

OPTION 10 <<<---------ANSWER

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