Point Charge Electric Potentials and Fields *(0,y) 1. An uneven dipole centered on the origin as drawn. The separation between the charges is d. The leftmost charge (+3q) is positive and three times as large as the rightmost charge (-q), which is negative. Express all answers in terms of the constants k, q, and d. a. (Review) Find the y-component of the electric field as a function of y at the location (0,y). b. Find an algebraic expression for the electric potential at location (0,y). This is the electric potential (voltage) as a function of y, V(y), anywhere the y- axis. dv c. Show that your electric potential satisfies: E, = dy d. (Extra Credit) Why can't we find the other electric field component using our electric ptential dv function and E, -? What information are we missing? =- dx

Point Charge Electric Potentials and Fields *(0,y) 1. An uneven dipole centered on the origin as drawn. The separation between the charges is d. The leftmost charge (+3q) is positive and three times as large as the rightmost charge (-q), which is negative. Express all answers in terms of the constants k, q, and d. a. (Review) Find the y-component of the electric field as a function of y at the location (0,y). b. Find an algebraic expression for the electric potential at location (0,y). This is the electric potential (voltage) as a function of y, V(y), anywhere the y- axis. dv c. Show that your electric potential satisfies: E, = dy d. (Extra Credit) Why can't we find the other electric field component using our electric ptential dv function and E, -? What information are we missing? =- dx

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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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

Point Charge Electric Potentials and Fields
*(0,y)
1. An uneven dipole centered on the origin as drawn. The
separation between the charges is d. The leftmost charge
(+3q) is positive and three times as large as the rightmost
charge (-q), which is negative. Express all answers in terms
of the constants k, q, and d.
a. (Review) Find the y-component of the electric field
as a function of y at the location (0,y).
b. Find an algebraic expression for the electric potential
at location (0,y). This is the electric potential
(voltage) as a function of y, V(y), anywhere the y-
axis.
dV
c. Show that your electric potential satisfies: E,-
=- dy
d. (Extra Credit) Why can't we find the other electric field component using our electric ptential
dV
function and E,
What information are we missing?
dx

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a-d
Please answer all parts.
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