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An annulus with an inner radius of a and an outer radius of b has charge density and lies in the xy-plane with its center at the origin, as shown in (Figure 1). Figure b < 1 of 1 x Part A Using the convention that the potential vanishes at infinity, determine the potential at all points on the z-axis. Express your answer in terms of the electric constant o, o, a, b, and z. 197| ΑΣΦ V= Submit Part B Request Answer Determine the x-, y-, z-components of the electric field at all points on the z-axis by differentiating the potential. Enter your answers separated by commas. Express your answers in terms of the electric constant €0, o, a, b, x, y, and z. Ez, Ey, Ex = Submit ΧΕΙ ΑΣΦ ? Request Answer ?

An annulus with an inner radius of a and an outer radius of b has charge density and lies in the xy-plane with its center at the origin, as shown in (Figure 1). Figure b < 1 of 1 x Part A Using the convention that the potential vanishes at infinity, determine the potential at all points on the z-axis. Express your answer in terms of the electric constant o, o, a, b, and z. 197| ΑΣΦ V= Submit Part B Request Answer Determine the x-, y-, z-components of the electric field at all points on the z-axis by differentiating the potential. Enter your answers separated by commas. Express your answers in terms of the electric constant €0, o, a, b, x, y, and z. Ez, Ey, Ex = Submit ΧΕΙ ΑΣΦ ? Request Answer ?

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Part C If a = 5.00 cm, b = 10.0 cm and the total charge on the annulus is 1.00 μC, what is the potential at the origin? Express your answer with the appropriate units. V(0) = Submit Part D ☐☐ V = Value μA Request Answer ΜΑ If a particle with mass 1.00 g (much less than the mass of the annulus) and charge 1.00 μC is placed at the origin and given the slightest nudge, it will be projected along the z-axis. In this case, what will be its ultimate speed? Express your answer with the appropriate units. Value Units Units ? ?
Transcribed Image Text:Part C If a = 5.00 cm, b = 10.0 cm and the total charge on the annulus is 1.00 μC, what is the potential at the origin? Express your answer with the appropriate units. V(0) = Submit Part D ☐☐ V = Value μA Request Answer ΜΑ If a particle with mass 1.00 g (much less than the mass of the annulus) and charge 1.00 μC is placed at the origin and given the slightest nudge, it will be projected along the z-axis. In this case, what will be its ultimate speed? Express your answer with the appropriate units. Value Units Units ? ?
An annulus with an inner radius of a and an outer radius of b has charge density and lies in the xy-plane with its center at the origin, as shown in (Figure 1). Figure σ b K 1 a Z 0 X 1 of 1 y Part A Using the convention that the potential vanishes at infinity, determine the potential at all points on the z-axis. Express your answer in terms of the electric constant €0, o, a, b, and z. IVE ΑΣΦΑΝΟ V = Submit Part B Request Answer Determine the x-, y-, z-components of the electric field at all points on the z-axis by differentiating the potential. Enter your answers separated by commas. Express your answers in terms of the electric constant €0, o, a, b, x, y, and z. Ex, Ey, Ez = Submit V ΑΣΦ Request Answer ? Ć www ?
Transcribed Image Text:An annulus with an inner radius of a and an outer radius of b has charge density and lies in the xy-plane with its center at the origin, as shown in (Figure 1). Figure σ b K 1 a Z 0 X 1 of 1 y Part A Using the convention that the potential vanishes at infinity, determine the potential at all points on the z-axis. Express your answer in terms of the electric constant €0, o, a, b, and z. IVE ΑΣΦΑΝΟ V = Submit Part B Request Answer Determine the x-, y-, z-components of the electric field at all points on the z-axis by differentiating the potential. Enter your answers separated by commas. Express your answers in terms of the electric constant €0, o, a, b, x, y, and z. Ex, Ey, Ez = Submit V ΑΣΦ Request Answer ? Ć www ?
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