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Consider a uniformly charged ring in the XY plane, centered at the origin. The ring has a radius a and positive charge q distributed evenly along its circumference.

1. What is the magnitude of the electric field along the positive z-axis?
Use k in your answer, where k = \frac{1}{4 \pi \epsilon_0}.   
2.The ball will oscillate along the z-axis between z=d and z=-d in simple harmonic motion. What will be the angular frequency omega of these oscillations? Use the approximation d \ll a to simplify your calculation; that is, assume that d^2+a^2 \approx a^2.

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Vikas
VikasLv10
24 Jan 2021

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