A long wire lying along the x-axis carries a current of 3.20Ain the +x direction

Question

A long wire lying along the x-axis carries a current of 3.20Ain the +x direction. There is a uniform magnetic field present,given by B=0.003 i + 0.004 j + 0.002 k, where i,j,k are the unitvectors along the cartesian coordinate axes in units of Tesla.Calculate the y-component of the magnetic force acting on a segmentof wire of length L = 18.0cm.

A long wire lying along the x-axis carries a current of 3.20Ain the +x direction. There is a uniform magnetic field present,given by B=0.003 i + 0.004 j + 0.002 k, where i,j,k are the unitvectors along the cartesian coordinate axes in units of Tesla.Calculate the y-component of the magnetic force acting on a segmentof wire of length L = 18.0cm.
A long wire lying along the x-axis carries a current of 3.20Ain the +x direction. There is a uniform magnetic field present,given by B=0.003 i + 0.004 j + 0.002 k, where i,j,k are the unitvectors along the cartesian coordinate axes in units of Tesla.Calculate the y-component of the magnetic force acting on a segmentof wire of length L = 18.0cm.

Explanation / Answer

The y component of the force is from the z component of the Bfield and     Fy = - L Ix Bz    (the - sign isbecause  x cross z is minusy)

So    Fy = - 0.18m * 3.20 A * 0.002 Tesla =   -0.00115 Newtons

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