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hodgesr3346
04.03.2020 •
Physics
9. Over a certain region of space, the electric potential is V = . (a) Find the expressions for the x, y, and z components of the electric field over this region. (b) What is the magnitude of the field at the point P that has coordinates (1.00, 0, 22.00) m?
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Ответ:
a)
The expression for the electric potential in this problem is:
where
x, y, z are the three spatial coordinates
The relationship between components of the electric field and electric potential is:
Therefore, we have to calculate the derivatives of the potential over the three variables.
Doing so, we find:
b)
Here we want to find the magnitude of the electric field at the point P that has coordinates
P (1.00, 0, 22.00) m
First of all, we find the components of the electric field at that point by substituting
x = 1.00
y = 0
z = 22.0
We find:
Now, the magnitude of the electric field is given by
And by substituting,
Ответ:
1 month
Explanation: