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The figure shows a thin rod of length L and charge Q with a point A along the x-axis a distance d from the center of the rod. Express your answers in terms of L, Q and d. Charge Q Point on axis ++++ ++ + A d a) What is the linear charge density 2 of the rod? b) Think of the rod as a continuous charge distribution of infinitesimal charges dq and integrate to find an expression for the electric potential a distance d away from the center of the rod and on the axis of the rod. c) Find an expression for the change in potential energy as a negative point charge q moves from point A to another point B located a distance 2d from the center of the rod along the x-axis. d) If now the charge q is released from rest at point B find an expression for its speed when it reaches point A.

The figure shows a thin rod of length L and charge Q with a point A along the x-axis a distance d from the center of the rod. Express your answers in terms of L, Q and d. Charge Q Point on axis ++++ ++ + A d a) What is the linear charge density 2 of the rod? b) Think of the rod as a continuous charge distribution of infinitesimal charges dq and integrate to find an expression for the electric potential a distance d away from the center of the rod and on the axis of the rod. c) Find an expression for the change in potential energy as a negative point charge q moves from point A to another point B located a distance 2d from the center of the rod along the x-axis. d) If now the charge q is released from rest at point B find an expression for its speed when it reaches point A.

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The figure shows a thin rod of length L and charge Q with a point A along the x-axis a distance d from the center of the rod. Express your answers in terms of L, Q and d. Charge Q Point on axis ++ +'+ + + + + + A L d a) What is the linear charge density a of the rod? b) Think of the rod as a continuous charge distribution of infinitesimal charges dq and integrate to find an expression for the electric potential a distance d away from the center of the rod and on the axis of the rod. c) Find an expression for the change in potential energy as a negative point charge q moves from point A to another point B located a distance 2d from the center of the rod along the x-axis. d) If now the charge q is released from rest at point B find an expression for its speed when it reaches point A.
Transcribed Image Text:The figure shows a thin rod of length L and charge Q with a point A along the x-axis a distance d from the center of the rod. Express your answers in terms of L, Q and d. Charge Q Point on axis ++ +'+ + + + + + A L d a) What is the linear charge density a of the rod? b) Think of the rod as a continuous charge distribution of infinitesimal charges dq and integrate to find an expression for the electric potential a distance d away from the center of the rod and on the axis of the rod. c) Find an expression for the change in potential energy as a negative point charge q moves from point A to another point B located a distance 2d from the center of the rod along the x-axis. d) If now the charge q is released from rest at point B find an expression for its speed when it reaches point A.
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