Suppose a point charge q has the trajectory ro(t) = at î, where a > 0. Suppose we want to calculate the scalar potential V for points on the negative z axis. (a) Calculate the separation vector i (t), the vector from the particle's location o to the field point on the negative z-axis. (b) Find 2 (t) = |ï (t)| %3D (c) Given your answer in part (b), use t, = t-2 (t,)/c to solve for t,. (The expression r (t,) means use t t, in your expression for r.) (d) Find the velocity of the particle, (t). (e) Evaluate the quantity 2 c-i i at time t t, where t, is given by the expression you found in part (c). (f) Use Equation 10.46 in the textbook and the quantity you calculated in part (e) to find V for points on the negative z axis. 1 qc v)' V (r,t) = 4TEo (c - : V) (10.46)

Suppose a point charge q has the trajectory ro(t) = at î, where a > 0. Suppose we want to calculate the scalar potential V for points on the negative z axis. (a) Calculate the separation vector i (t), the vector from the particle's location o to the field point on the negative z-axis. (b) Find 2 (t) = |ï (t)| %3D (c) Given your answer in part (b), use t, = t-2 (t,)/c to solve for t,. (The expression r (t,) means use t t, in your expression for r.) (d) Find the velocity of the particle, (t). (e) Evaluate the quantity 2 c-i i at time t t, where t, is given by the expression you found in part (c). (f) Use Equation 10.46 in the textbook and the quantity you calculated in part (e) to find V for points on the negative z axis. 1 qc v)' V (r,t) = 4TEo (c - : V) (10.46)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Electric Charges and Fields

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Question

Suppose a point charge q has the trajectory ro(t) = at î, where a > 0. Suppose we
want to calculate the scalar potential V for points on the negative z axis.
(a) Calculate the separation vector (t), the vector from the particle's location ro to
the field point on the negative z-axis.
(b) Find 2 (t) = |7 (t)|
(c) Given your answer in part (b), use t, = t-2 (t,)/c to solve for t,. (The expression
r (t,) means use t t, in your expression for 2 .)
(d) Find the velocity of the particle, (t).
(e) Evaluate the quantity 2 c-ii at time t = t, where t, is given by the expression
you found in part (c).
(f) Use Equation 10.46 in the textbook and the quantity you calculated in part (e)
to find V for points on the negative z axis.
1
V(r, t) =
qc
4T €o (2c-.
(10.46)

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