The electric potential in a certain region of space depends only on the x-coordinate in the following way: V(x) = 4x? + 2x + sin(x) (In the equation above, the voltage V comes out in volts if x is in meters.) What is the x-component of the electric field at the point r = 0? None of these is correct. O +6 volts O -6 volts 2 volte

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Chapter5: Electric Charges And Fields
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The electric potential in a certain region of space depends only on
the x-coordinate in the following way:
V(x) = 4x? + 2x + sin(x)
(In the equation above, the voltage V comes out in volts if x is in meters.)
What is the x-component of the electric field at the point r = 0?
None of these is correct.
O +6 volts
O -6 volts
+2 volts
+3 volts
O O volts
+8 volts
O -8 volts
-2 volts
-3 volts
O +11 volts
-11 volts
Transcribed Image Text:The electric potential in a certain region of space depends only on the x-coordinate in the following way: V(x) = 4x? + 2x + sin(x) (In the equation above, the voltage V comes out in volts if x is in meters.) What is the x-component of the electric field at the point r = 0? None of these is correct. O +6 volts O -6 volts +2 volts +3 volts O O volts +8 volts O -8 volts -2 volts -3 volts O +11 volts -11 volts
Consider again the same electric field diagram. (Note: Any line or
orientation that looks close to vertical is indeed vertical; any line or
orientation that looks close to horizontal is indeed horizontal.)
A positive point charge is moved by an external force (e.g., a hand)
between two of the labeled points. The speed of the object is
constant as it happens, and the external force does zero work.
Which of the following best describes the two points?
O The particle is moved between points A and B.
The particle is moved between points C and D.
O The particle is moved between points A and C.
The particle is moved between points B and D.
O The particle is moved between points A and D.
Transcribed Image Text:Consider again the same electric field diagram. (Note: Any line or orientation that looks close to vertical is indeed vertical; any line or orientation that looks close to horizontal is indeed horizontal.) A positive point charge is moved by an external force (e.g., a hand) between two of the labeled points. The speed of the object is constant as it happens, and the external force does zero work. Which of the following best describes the two points? O The particle is moved between points A and B. The particle is moved between points C and D. O The particle is moved between points A and C. The particle is moved between points B and D. O The particle is moved between points A and D.
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The electric field  is negative gradient of the electric potential.

E=dV/dr

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