Suppose that you have a potential in space expressed as V(x,y,z)²(y²+a²)-3/4+2³. =X Here, a 5 and is a constant. In TWO decimal places, a. What is the potential at x=3, y=-2, z=4? V(3,-2,4) Blank 1 V b. NOTE: If you are correct in this item, it means you have the correct solution. Also, your solution will be checked. Show me what you learned in your Calculus course. If I see a short-cut solution (or not detailed), you will not get the full credit here even if your "input" is correct. Using the potential gradient discussed, what is the electric field at the location of V? E=(Blank 2 N/C)+ (Blank 3 N/C)+ (Blank 4 N/C) c. If we put a charge of q=-2μC at the location of V, what will be its electric potential energy? Blank 5x10 Blank 6] U = e d. What then is the electric force vector acting on q? (Blank 7x10Blank 8 N)+ (Blank 9x10Blank 10 N)+ (Blank 11x10 Blank 12 N). e. If the charge q has a mass of m=0.000002 kg, what is the "magnitude" of its initial acceleration? I

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Suppose that you have a potential in space expressed as
V(x,y,z)²(y²+a²)-3/4+2³.
=X
Here, a 5 and is a constant.
In TWO decimal places,
a. What is the potential at x=3, y=-2, z=4?
V(3,-2,4)
Blank 1 V
b. NOTE: If you are correct in this item, it means you have the correct solution. Also, your solution will be checked. Show me what
you learned in your Calculus course. If I see a short-cut solution (or not detailed), you will not get the full credit here even if your
"input" is correct.
Using the potential gradient discussed, what is the electric field at the location of V?
E=(Blank 2 N/C)+ (Blank 3 N/C)+ (Blank 4 N/C)
c. If we put a charge of q=-2μC at the location of V, what will be its electric potential energy?
Blank 5x10 Blank 6]
U =
e
d. What then is the electric force vector acting on q?
(Blank 7x10Blank 8 N)+ (Blank 9x10Blank 10 N)+ (Blank 11x10 Blank 12 N).
e. If the charge q has a mass of m=0.000002 kg, what is the "magnitude" of its initial acceleration?
I
Transcribed Image Text:Suppose that you have a potential in space expressed as V(x,y,z)²(y²+a²)-3/4+2³. =X Here, a 5 and is a constant. In TWO decimal places, a. What is the potential at x=3, y=-2, z=4? V(3,-2,4) Blank 1 V b. NOTE: If you are correct in this item, it means you have the correct solution. Also, your solution will be checked. Show me what you learned in your Calculus course. If I see a short-cut solution (or not detailed), you will not get the full credit here even if your "input" is correct. Using the potential gradient discussed, what is the electric field at the location of V? E=(Blank 2 N/C)+ (Blank 3 N/C)+ (Blank 4 N/C) c. If we put a charge of q=-2μC at the location of V, what will be its electric potential energy? Blank 5x10 Blank 6] U = e d. What then is the electric force vector acting on q? (Blank 7x10Blank 8 N)+ (Blank 9x10Blank 10 N)+ (Blank 11x10 Blank 12 N). e. If the charge q has a mass of m=0.000002 kg, what is the "magnitude" of its initial acceleration? I
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