looking for part E please Part A What is the x -component of the force F ? exert

Question

looking for part E please

Part A

What is the x-component of the force F?  exerted on the particle by the magnetic field?

Part B

What is the y-component of the force F?  exerted on the particle by the magnetic field?

Part C

What is the z-component of the force F?  exerted on the particle by the magnetic field?

Part D

If q<0 and Bx=By=Bz>0, find the magnitude of F?  in terms of q, v, and Bx.

Part E

If q<0 and B_xvq=B_yvq=B_zvq=1, find the direction of F

Express your answer in terms of unit vectors i, j, and k.

Explanation / Answer

Fb = q*( v cross * B )

Fb = q*( vj cross Bxi + Byj + Bz k )

Fb = q*V*Bx (j x i) + q*v*Bz*(j x k)

Fb = -q*v*Bx k + q*v*Bz i

Fb = Fxi + Fy j + Fz k

part(A)

Fx = q*v*Bz

partr(B)

Fy = 0

part(C)

Fz = -q*v*Bx

part(D)

F = sqrt(Fx^2 + Fy^2 + Fz^2)

Fx = Fz = q*v*Bx

F = sqrt(2)*q*v*Bx = 1.414q*v*Bx <<--------------answer

part(E)

F = q * ( v cross B )

                         i              j           k

Fxi + Fyj + Fz k = q*   0              v           0

                        Bx             By          Bz

Fxi + Fyj + Fz k = q*(v*Bz)i - q*(0)j + q*(-v*Bx)k

Fxi + Fyj + Fz k = qi - q k

F = qi + 0j - qk

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