A uniform electric field, with a magnitude of 449 N/C, is directed parallel to the positive x-axis. If the potential at x= 4.59 m is 966 V, what is the potential at x= 1.61 m?

Answers

Answer 1

Answer:

2.334‬ kV

Explanation:

Since the electric field strength Ecosθ = -ΔV/Δx = -(V₂ - V₁)/(x₂ - x₁)

where V₁ = potential at x₁ = 966 V, x₁ = 4.59 m, V₂ = potential at x₂ = unknown, x₂ = 1.61 m and θ = angle between E and the x - axis.

Given that E = + 449 N/C and since it is directed parallel to the positive x - axis, θ = 0°

So,

Ecosθ = -ΔV/Δx

Ecos0° = -ΔV/Δx

E = -ΔV/Δx

E = -(V₂ - V₁)/(x₂ - x₁)

making V₂ subject of the formula, we have

-E(x₂ - x₁) = V₂ - V₁

-E(x₂ - x₁) + V₁ = V₂

V₂ = V₁ - E(x₂ - x₁)

Substituting the values of the variables into the equation, we have

V₂ = V₁ - E(x₂ - x₁)

V₂ = 966 V - 449 N/C(1.61 m - 4.59 m)

V₂ = 966 V - 449 N/C(-2.98 m)

V₂ = 966 V + 1,338.02‬ Nm/C

V₂ = 966 V + 1,338.02‬ V

V₂ = ‭2,334.02‬ V

V₂ ≅ ‭2,334‬ V

V₂ = ‭2.334‬ kV


Related Questions

A hydrogen atom and a carbon atom move at the same speed. Which has the greater kinetic energy?

Answers

Answer:

The carbon atom has greater kinetic energy than a hydrogen atom.

Hope this helps! :)

Carbon atom has the greater kinetic energy.

What is meant by kinetic energy ?

Kinetic energy is defined as the energy attained by a body by virtue of its motion.

Here,

The speed of the hydrogen atom and carbon atom are the same.

Kinetic energy of hydrogen atom, KEн = 1/2 m(н) v(н)²

Kinetic energy of carbon atom, KEс = 1/2 m(с) v(с)²

where m and v are mass and speed respectively.

Taking the ratio,

KEн/KEс = m(н)/m(с)

KEн/KEс = 2/12

KEн/KEс = 1/6

KEс = 6KEн

Therefore the kinetic energy of carbon atom is 6 times the kinetic energy of hydrogen atom.

Hence,

Carbon atom has the greater kinetic energy.

To learn more about kinetic energy, click:

https://brainly.com/question/72216

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Answers

Answer:

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Answer:

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Answers

Answer:

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Answers

Answer:

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Answers

Answer:

trail mix, soup, and gold

hope this helps

have a good day :)

Explanation:

Answer:

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may i be marked brainliest

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Answers

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Explanation:

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Answers

Answer:

i am answering the same question 3rd time

please find the answer in the images attached.

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Answers

Answer:

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Explanation:

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[tex]d sin\theta =m \lambda[/tex]

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Answers

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Answers

Answer:

(I will talk in my opinion only)

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Answer:

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Explanation:

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Answers

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...................................

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Answer:

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Answer:

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Answers

Answer:

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Answers

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Answers

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Answers

Answer:

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