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A metal sphere with a hollow cavity inside has -2 nC charge at the center of the hollow cavity. Draw representative electric field vectors and equipotential lines/surfaces for the a) cross-sectional slice shown in the picture for this situation. Remember that electric field vectors must have both magnitude and direction. If applicable, your drawing should show what's going on in the cavity, in the metal, and outside the sphere.

A metal sphere with a hollow cavity inside has -2 nC charge at the center of the hollow cavity. Draw representative electric field vectors and equipotential lines/surfaces for the a) cross-sectional slice shown in the picture for this situation. Remember that electric field vectors must have both magnitude and direction. If applicable, your drawing should show what's going on in the cavity, in the metal, and outside the sphere.

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Please look at the pictures and answer the questions, all of the information is provided so please dont ask for more information.

**Problem 2:** A metal sphere with a hollow cavity inside has a charge of -2 nC at the center of the hollow cavity. a) Draw representative electric field vectors and equipotential lines/surfaces for the cross-sectional slice shown in the picture for this situation. Remember that electric field vectors must have both magnitude and direction. If applicable, your drawing should show what's going on in the cavity, in the metal, and outside the sphere. - **Diagram Explanation:** - The image shows a cross-section of a sphere with a hollow cavity. - The cavity has a radius of 0.1 m, and the outer metallic sphere has a radius of 0.3 m. - At the center of the cavity, there is a charge of -2 nC. b) Calculate the electric potential at a distance of 0.6 m from the center of the sphere and the potential energy of a proton (\(m_p = 1.67 \times 10^{-27} \text{ kg}; q_p = 1.602 \times 10^{-19} \text{ C}\)) at that location.
Transcribed Image Text:**Problem 2:** A metal sphere with a hollow cavity inside has a charge of -2 nC at the center of the hollow cavity. a) Draw representative electric field vectors and equipotential lines/surfaces for the cross-sectional slice shown in the picture for this situation. Remember that electric field vectors must have both magnitude and direction. If applicable, your drawing should show what's going on in the cavity, in the metal, and outside the sphere. - **Diagram Explanation:** - The image shows a cross-section of a sphere with a hollow cavity. - The cavity has a radius of 0.1 m, and the outer metallic sphere has a radius of 0.3 m. - At the center of the cavity, there is a charge of -2 nC. b) Calculate the electric potential at a distance of 0.6 m from the center of the sphere and the potential energy of a proton (\(m_p = 1.67 \times 10^{-27} \text{ kg}; q_p = 1.602 \times 10^{-19} \text{ C}\)) at that location.
c) If the proton was traveling away from the sphere with a velocity of \(1.2 \times 10^5\) m/s and traveled from a location 0.6 m from the sphere's center to a location 1.5 m from the sphere's center, what would be its final kinetic energy?
Transcribed Image Text:c) If the proton was traveling away from the sphere with a velocity of \(1.2 \times 10^5\) m/s and traveled from a location 0.6 m from the sphere's center to a location 1.5 m from the sphere's center, what would be its final kinetic energy?
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