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The magnetic field over a certain range is given by B Rightarrow = Bxi + Byj, wh

ID: 1345805 • Letter: T

Question

The magnetic field over a certain range is given by B Rightarrow = Bxi + Byj, where Bx = 7 T and By = 7 T. An electron moves into the field with a velocity v = vx i+vy J +vz k, where vx = 8 m/s, vy = 9 m/s and vz = b m/s. The charge on the electron is -1.602 Times 10^-19C. What is the i component of the force excerted on the electron by the magnetic field? Answer in units of N. What is the j component of the force? Answer in units of N. What is the k component of the force? Answer in units of N.

Explanation / Answer

here,

B = 7 T i + 7 T j

v = (8 i + 9 j + 5 k) m/s

charge , e = - 1.6 * 10^-19 C

force on electron , F = q*v X B

F = ( - 1.6 * 10^-19) * ( 8 i + 9 j + 5 k) * ( 7 i + 7 j)

F = ( - 1.6 * 10^-19) * ( 56 k - 63 k + 35 j - 35 i)

F = ( 1.6 * 10^-19) * ( 35 i - 35 j + 7 k) N

the i component of the force is 5.6 * 10^-18 N

the j component of the force is - 5.6 * 10^-18 N

the k compomnent of the force is 1.12 * 10^-18 N