What is the velocity of a beam of electrons that goes undeflected when passing t

Question

What is the velocity of a beam of electrons that goes undeflected when passing through perpendicular electric and magnetic fields of magnitude 6800 V/m and 6.7 times 10^-3 T, respectively? Express your answer using two significant figures. What is the radius of the electron orbit if the electric field is turned off? Express your answer using two significant figures. A proton moves through a region of space where there is a magnetic field B = (0.51i + 0.36j) T and an electric field E = (2.7i - 4.0j) times 1063 V/m. At a given instant, the proton's velocity is v = (5.5i + 3.2j - 4.8k) times 10^3 m/s. Determine the components of the total force on the proton. Express your answers using two significant figures. Enter your answers numerically separated by commas.

Explanation / Answer

part 1 )

part a )

qE = qvB

v = E/B

v = 8.955 x 10^5 m/s = 9.0 x 10^5

part b )

r = mv/qB

m = 9.1 x 10^-31

r = 7.6 x 10^-4 m

part 6 )

F = q[E + v x B]

v x B = 1728i - 2640 j + 220k

F = q[2700 i - 4000j + 1728i - 2640j + 220k]

F = q[4428i -6640j + 220k]

Fx = 7.1 x 10^-16 N

Fy = 1.1 x 10^-15 N

Fz = 3.5 x 10^-17 N

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