# As part of the optics in a prototype scanning electron microscope, you have a uniform circular ring of charge Q=4.80 microCoulombs and radius R=1.30 cm located in the x-y plane, centered on the origin as shown in the figure.

As part of the optics in a prototype scanning electron microscope, you have a uniform circular ring of charge Q=4.80 microCoulombs and radius R=1.30 cm located in the x-y plane, centered on the origin as shown in the figure. If z is much smaller than R then E is proportional to z. (You should verify this by taking the limit of your expression for E for z much smaller than R.) If you place an electron on the z-axis near the origin it experiences a force Fz=-cz, where c is a constant. Obtain a numerical value for c. (To think about: what kind of motion would that electron undergo if you let it go?)As part of the optics in a prototype scanning electron microscope, you have a uniform circular ring of charge Q=4.80 microCoulombs and radius R=1.30 cm located in the x-y plane, centered on the origin as shown in the figure. If z is much smaller than R then E is proportional to z. (You should verify this by taking the limit of your expression for E for z much smaller than R.) If you place an electron on the z-axis near the origin it experiences a force Fz=-cz, where c is a constant. Obtain a numerical value for c. (To think about: what kind of motion would that electron undergo if you let it go?)

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