A particle with mass 0.8 gram and charge .02 μC is moving in the x-y plane with a velocity v(t) given by the formula v(t) = (15000 i + 30000 j )m/s. It enters a region of space where a magnetic field B exists, given by B = (1.5 i + 2j) T. What is the force on the charge? (Hint: i, j and k are the unit vectors along x, y and z-axis respectively. Use the relationships i x i = j x j  =  k x k  = 0, and i x j  = k, etc.) a) .0003 N along positive z b) .0003 N along positive x                           c) .0003 N along negative z.   What is its acceleration? 0.375 m/s2 along negative z    b) 0.375 m/s2 along positive x              c) 0.375 m/s2 along positive z

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A particle with mass 0.8 gram and charge .02 μC is moving in the x-y plane with a velocity v(t) given by the formula v(t) = (15000 i + 30000 j )m/s. It enters a region of space where a magnetic field B exists, given by B = (1.5 i + 2j) T. What is the force on the charge? (Hint: i, j and k are the unit vectors along x, y and z-axis respectively. Use the relationships i x i = j x j  =  k x k  = 0, and i x j  = k, etc.)

a) .0003 N along positive z

b) .0003 N along positive x                          

c) .0003 N along negative z.

 

What is its acceleration?

0.375 m/s2 along negative z   

b) 0.375 m/s2 along positive x             

c) 0.375 m/s2 along positive z

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