2) Find the frequency of large osallations for a a small hole charge moving through in the middle of an insulating sphere of total charge Q and radius R. Neglect gravity effects e E set N I charge b) how does the frequency change of the hole does not go through the center of the insulating sphere? R = 100m Dhole Q = 10-3 9=-1.6(10-19) c c) Be sure to use Gauss Law to derive E field expression. Inchale a grossian surface and a figure

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**Challenge Problem**

**Due: Thurs, Oct 27**

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**Problem:**

2) Find the frequency of large oscillations for a charge moving through a small hole in the middle of an insulating sphere of total charge \( Q \) and radius \( R \). Neglect gravity effects.

a) **Diagram Explanation:**

The diagram shows an insulating sphere with a radius \( R \) and a small hole through its center. The notation inside the sphere represents a uniform charge distribution, and a hole through the center is indicated.

- \((-)\) charge
- \(R\) is marked near the perimeter.
- The hole is shown going through the center.

b) How does the frequency change if the hole does not go through the center of the insulating sphere?

**Given:**
- \( Q = 10^{-3} \, C \)
- \( R = 100 \, m \)
- \( q = -1.6(10^{-19}) \, C \)

c) Be sure to use Gauss’s Law to derive the electric field expression. Include a Gaussian surface and a figure.
Transcribed Image Text:**Challenge Problem** **Due: Thurs, Oct 27** --- **Problem:** 2) Find the frequency of large oscillations for a charge moving through a small hole in the middle of an insulating sphere of total charge \( Q \) and radius \( R \). Neglect gravity effects. a) **Diagram Explanation:** The diagram shows an insulating sphere with a radius \( R \) and a small hole through its center. The notation inside the sphere represents a uniform charge distribution, and a hole through the center is indicated. - \((-)\) charge - \(R\) is marked near the perimeter. - The hole is shown going through the center. b) How does the frequency change if the hole does not go through the center of the insulating sphere? **Given:** - \( Q = 10^{-3} \, C \) - \( R = 100 \, m \) - \( q = -1.6(10^{-19}) \, C \) c) Be sure to use Gauss’s Law to derive the electric field expression. Include a Gaussian surface and a figure.
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