Use the diagram for the next three problems. Electrons traveling at a speed of v₀ = 3 * 10⁷ m/s pass through the deflection plates. The electric field between the plates is E = 5000 V/m and spans a distance of
x₁ = 5 cm. The electrons then travel a further distance of x₂ = 40 cm along the x-axis.
-With the magnetic field turned off, the total deflection in the y direction is

Question

Use the diagram for the next three problems.

Electrons traveling at a speed of v₀ = 3 * 10⁷ m/s pass through the deflection plates. The electric field between the plates is E = 5000 V/m and spans a distance of
x₁ = 5 cm. The electrons then travel a further distance of x₂ = 40 cm along the x-axis.
-With the magnetic field turned off, the total deflection in the y direction is

Quizplus · Accepted Answer

We can use the equation for the deflection of electrons in an electric field: y = (1/2) * (q/m) * (E₀ / v₀) * (x₁) ^ 2 Plugging in the given values, we get: y = (1/2) * (1.6 x 10^-19 / 9.11 x 10^-31) * (5000) / (3 x 10^7) * (0.05) ^ 2 y = 2.07 x 10^-2 m = 2.07 mm Note: We multiply by 1/2 in the equation since the electrons are deflected both up and down by the same amount, so we only need to consider half the distance.

Use the Diagram for the Next Three Problems