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just need to find out how to combine the three equations in the screenshot and solve for  r.

just need to find out how to combine the three equations in the screenshot and solve for  r.

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See attached image, just need to find out how to combine the three equations in the screenshot and solve for  r.

Now turn on the current to observe the deflection on the electrons. Do not exceed 200 mA. Make sure you are reading DC not AC amps. Adjust the current so you can observe the electron beam over as large a part of the screen as possible. This may not look much different than what you saw with the electrostatic deflection a couple of weeks ago. Looking at a small section of a circle, it is difficult to tell the difference between a circle and a parabola. We need the equation! The equation for a circle with a radius r, centered at a point (xo, yo) is given by (x − x)² + (y− y₁)² = r² In principle, we could measure the x and y coordinates of any three points on the path of the electron, and solve for xo, yo and r. However, because of the small curvature of the beam in this experiment, this method of calculating r is too sensitive to small errors in the measurement. Recognizing this issue, the manufacturer of the deflection tube has located the luminescent screen within the tube so that the origin of the coordinate system is at the point where the electron beam enters the magnetic field with a horizontal velocity. This gives: x₁ = 0 and Y₁ = r (5) (6) (7) So, we only need to measure x and y for a single point. In the experiment you will adjust the magnetic field so the electron beam goes through x=10 cm, y=2cm. Before lab - combine equations 5, 6 and 7, and solve for r in terms of x and y for a single point on the electrons path. Calculate r given x = 10cm and y = 2cm.
Transcribed Image Text:Now turn on the current to observe the deflection on the electrons. Do not exceed 200 mA. Make sure you are reading DC not AC amps. Adjust the current so you can observe the electron beam over as large a part of the screen as possible. This may not look much different than what you saw with the electrostatic deflection a couple of weeks ago. Looking at a small section of a circle, it is difficult to tell the difference between a circle and a parabola. We need the equation! The equation for a circle with a radius r, centered at a point (xo, yo) is given by (x − x)² + (y− y₁)² = r² In principle, we could measure the x and y coordinates of any three points on the path of the electron, and solve for xo, yo and r. However, because of the small curvature of the beam in this experiment, this method of calculating r is too sensitive to small errors in the measurement. Recognizing this issue, the manufacturer of the deflection tube has located the luminescent screen within the tube so that the origin of the coordinate system is at the point where the electron beam enters the magnetic field with a horizontal velocity. This gives: x₁ = 0 and Y₁ = r (5) (6) (7) So, we only need to measure x and y for a single point. In the experiment you will adjust the magnetic field so the electron beam goes through x=10 cm, y=2cm. Before lab - combine equations 5, 6 and 7, and solve for r in terms of x and y for a single point on the electrons path. Calculate r given x = 10cm and y = 2cm.
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