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m_a_m_a [10]
3 years ago
7

Over a certain region of space, the electric potential is V = 4x − 7x2y + 7yz2. Find the expressions for the x, y, z components

of the electric field over this region. (Use any variable or symbol stated above as necessary.)
Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0

Answer:

Ex = - 4 + 14xy

Ey = 7x² - 7z²

Ez = -14yz

Step-by-step explanation:

The relationship between Electric field Er(x, y, z) and Electric potential, V, is a differential relationship:

Er(x, y, z) = -dV/dr(x, y, z)

Where r(x, y, z) = distance in x, y and z components.

The x component of the electric field is:

Ex = -dV/dx

Given that:

V = 4x - 7x²y + 7yz²

Ex = -dV/dx

Ex = -(4 - 14xy)

Ex = -4 + 14xy

The y component of the electric field is:

Ey = -dV/dy

Ey = -(-7x² + 7yz²)

Ey = 7x² - 7z²

The z component of the electric field is:

Ez = -dV/dz

Ez = -(14yz)

Ez = -14yz

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Answer:

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she obtained 75% of first 40 questions

  1. No. of question she got correct in first 40 = 75% * 40 = 30

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Suppose a triangle has two sides of length 3and 4 and that the angle between these two sides is 60. What is the length of the th
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9514 1404 393

Answer:

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Step-by-step explanation:

You can make an educated guess and come to the right conclusion.

The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.

So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:

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A -- between 3 and 4, the correct choice

B -- 3, too short

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D -- more than 4, too long

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The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.

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