Problem 7: The electric potential in a certain region varies with position as V(x) = ax² - bx + c, where a = 3.1 V/m², b = 14 V/m, and c = 13.5 V. Part (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.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 7: The electric potential in a certain region varies with position as V(x) = ax? - bx + c, where a = 3.1 V/m2, b = 14 V/m, and c = 13.5 V.
Part (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.
E = |
Y
7
8
9.
НOME
i
j
b
↑^ AL 4
5 6
a
d.
e
1
3
+
END
P
S
X
VO BACKSPACE
CLEAR
DEL
Submit
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· Part (b) What is the magnitude of the electric field, in volts per meter, at x = 1.0 m?
· Part (c) What is the direction of the electric field at x =1.0 m?
Part (d) What is the magnitude of the electric field, in volts per meter, at x = 5.0 m?
Part (e) What is the direction of the electric field at x = 5.0 m?
Transcribed Image Text:Problem 7: The electric potential in a certain region varies with position as V(x) = ax? - bx + c, where a = 3.1 V/m2, b = 14 V/m, and c = 13.5 V. Part (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. E = | Y 7 8 9. НOME i j b ↑^ AL 4 5 6 a d. e 1 3 + END P S X VO BACKSPACE CLEAR DEL Submit Hint Feedback I give up! Submission History All Date times are displayed in Eastern Standard Time Red submission date times indicate late work. Date Time Answer Hints Feedback · Part (b) What is the magnitude of the electric field, in volts per meter, at x = 1.0 m? · Part (c) What is the direction of the electric field at x =1.0 m? Part (d) What is the magnitude of the electric field, in volts per meter, at x = 5.0 m? Part (e) What is the direction of the electric field at x = 5.0 m?
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