The electric potential in a certain region varies with position as V(x) = ax2 - bx + c, where a = 2.3 V/m2, b = 18.5 V/m, and c = 9.5 V. (a) Find the electric field vector E in this region in terms of the given variables. Be sure to include a unit vector for direction. (b) What is the magnitude of the electric field, in volts per meter, at x = 1.0 m? (c) What is the direction of the electric field at x = 1.0 m? (d) What is the magnitude of the electric field, in volts per meter, at x = 5.0 m? (e) What is the direction of the electric field at x = 5.0 m?
The electric potential in a certain region varies with position as V(x) = ax2 - bx + c, where a = 2.3 V/m2, b = 18.5 V/m, and c = 9.5 V. (a) Find the electric field vector E in this region in terms of the given variables. Be sure to include a unit vector for direction. (b) What is the magnitude of the electric field, in volts per meter, at x = 1.0 m? (c) What is the direction of the electric field at x = 1.0 m? (d) What is the magnitude of the electric field, in volts per meter, at x = 5.0 m? (e) What is the direction of the electric field at x = 5.0 m?
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 22P
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The electric potential in a certain region varies with position as V(x) = ax2 - bx + c, where a = 2.3 V/m2, b = 18.5 V/m, and c = 9.5 V.
(a) Find the electric field vector E in this region in terms of the given variables. Be sure to include a unit vector for direction.
(b) What is the magnitude of the electric field, in volts per meter, at x = 1.0 m?
(c) What is the direction of the electric field at x = 1.0 m?
(d) What is the magnitude of the electric field, in volts per meter, at x = 5.0 m?
(e) What is the direction of the electric field at x = 5.0 m?
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