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Qmechanic ♦
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Yashas
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Suppose I am given a charge density $\rho(x)$. Poisson's equation states that

$\frac{d^2\phi}{dx^2} = -\frac{\rho}{\epsilon}$.$$\frac{d^2\phi}{dx^2} = -\frac{\rho}{\epsilon}$$

Is there a simple way to see what the characteristic strength of the electrostatic potential should be from a dimensional analysis?

Suppose I am given a charge density $\rho(x)$. Poisson's equation states that

$\frac{d^2\phi}{dx^2} = -\frac{\rho}{\epsilon}$.

Is there a simple way to see what the characteristic strength of the electrostatic potential should be from a dimensional analysis?

Suppose I am given a charge density $\rho(x)$. Poisson's equation states that

$$\frac{d^2\phi}{dx^2} = -\frac{\rho}{\epsilon}$$

Is there a simple way to see what the characteristic strength of the electrostatic potential should be from a dimensional analysis?

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user13514
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Electrostatic Potential

Suppose I am given a charge density $\rho(x)$. Poisson's equation states that

$\frac{d^2\phi}{dx^2} = -\frac{\rho}{\epsilon}$.

Is there a simple way to see what the characteristic strength of the electrostatic potential should be from a dimensional analysis?