005 (part 1 of 3) 10.0 points The magnetic field over a certain range is given b

Question

005 (part 1 of 3) 10.0 points The magnetic field over a certain range is given by B~ = Bx ˆ + By ˆ, where Bx = 4 T and By = 2 T. An electron moves into the field with a velocity ~v = vx ˆ+vy ˆ+vz ˆk, where vx = 3 m/s, vy = 2 m/s and vz = 4 m/s. The charge on the electron is 1.602 × 1019 C. What is the ˆ component of the force exerted on the electron by the magnetic field? Answer in units of N.

006 (part 2 of 3) 10.0 points What is the ˆ component of the force? Answer in units of N.

007 (part 3 of 3) 10.0 points What is the ˆk component of the force? Answer in units of N.

Explanation / Answer

Magnetic filed B =( 4i+2j )T

Velocity of electron v = (3i +2j+4z)

Charge of electron q = -1.602x10^-19 C

F = q [vxB]

vxB = [3i+2j+4k]x[4i+2j]

vX B= -8i+16j-2k

F = ( -1.602x10-19)[ -8i+16j-2k ]

F = 12.816x10-19 i- 25.632x10-19 j+ 3.204x10-19 k

Compare with F =Fxi+Fyj Fz k

i component of force exerted by magnetic filed Fx = 12.816x10-19 N

j component of force exerted by magnetic filed Fy= - 25.632x10-19 N

k component of force exerted by magnetic filed Fz = 3.204x10-19 N

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