A long wire lying along the x-axis carries a current of 3.40 A in the + x direction. There is a uniform magnetic field present, given by B=0.003i + 0.004j + 0.002k, where i, j, k are the unit vectors along the cartesian coordinate axes') in units of Tesla. Calculate the y-component of the magnetic force acting on a segment of wire of length L = 21.5 cm.

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Physics

Dominique Raymond

2 April, 03:47

A long wire lying along the x-axis carries a current of 3.40 A in the + x direction. There is a uniform magnetic field present, given by B=0.003i + 0.004j + 0.002k, where i, j, k are the unit vectors along the cartesian coordinate axes') in units of Tesla. Calculate the y-component of the magnetic force acting on a segment of wire of length L = 21.5 cm.

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Expression for magnetic force

F = L (I X B)

B magnetic field and I is current

Here I = 3.4 i

B =.003i +.004 j +.002 k

F = 21.5 X 10⁻² x 3.4 i X (.003i +.004 j +.002 k)

= (.2924 k -.1462 j) x 10⁻²

so y component of magnetic force = - 0.1462 x 10⁻² N