The electrical potential in a region of space is given by the expression V (x, y, z) = A (x^2−3y^2 + z^2). Here A is a constant. a) Find the components of the electric field at any point in this region in terms of constant A. b) When a trial load of 1.5 × 10^−6 C moves from the point (x, y, z) = (0, 0, 0.25) m to the center (origin) of the coordinate system, the work done by the electrical force is 6 × 10^−5 J find the value of constant A.
The electrical potential in a region of space is given by the expression V (x, y, z) = A (x^2−3y^2 + z^2). Here A is a constant. a) Find the components of the electric field at any point in this region in terms of constant A. b) When a trial load of 1.5 × 10^−6 C moves from the point (x, y, z) = (0, 0, 0.25) m to the center (origin) of the coordinate system, the work done by the electrical force is 6 × 10^−5 J find the value of constant A.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
Problem 2OQ
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The electrical potential in a region of space is given by the expression V (x, y, z) = A (x^2−3y^2 + z^2). Here A is a constant.
a) Find the components of the electric field at any point in this region in terms of constant A.
b) When a trial load of 1.5 × 10^−6 C moves from the point (x, y, z) = (0, 0, 0.25) m to the center (origin) of the coordinate system, the work done by the electrical force is 6 × 10^−5 J find the value of constant A.
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