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2 years ago

If the electric potential in a region is given by v(x)=7/x2 the x component of the electric field in that region is

Physics

1 answer:

lions [1.4K]2 years ago

6 0

Hi there!

Recall that:
$\Delta V = -\int\limits^a_b {E \cdot } \, dx$

Given an electric field, the potential difference can be solved by using integration. Similarly:
$E = -\frac{dV}{dx}$

We can differentiate the electric potential equation to solve for the electric field.

Use the power rule:
$\frac{dy}{dx} x^n = nx^{n - 1}$

Differentiate the given equation.

$-\frac{dV}{dx}\frac{7}{x^2} =- \frac{dV}{dx}7x^{-2} = -(-14x^{-3}) = \frac{14}{x^3}$

Or:
$\boxed{E(x) = \frac{14}{x^3}}$

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F = 592238.09 N

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TRANSLATION:

Para encontrar a força média, primeiro calcule a aceleração usando a seguinte equação cinemática:

você faz "a" o assunto da equação e substitui os valores dos outros parâmetros:

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3 years ago

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For any metal wire in equilibrium position, there may be excess charges in the interior of the wire and the net electric field everywhere inside the wire is zero. Additionally, the interior of the metal wire is always neutral and there is likely to be excess charges on the surface of the wire. Moreover, it's important to note that for a metal wire in equilibrium, there is no net flow of mobile electrons inside the wire.

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Answer:

The answer is below

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