Explain the similarities between R = \(\frac{V}{I}\) and ρ = \(\frac{E}{J}\)

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1. Resistivity (ρ) is a property of a material, while the resistance (R) refers to a particular object.

2. The electric field \(\overrightarrow{E}\) at a point is specified in a material with the potential difference across the resistance and the current density \(\overrightarrow{J}\) in a material is specified instead of current I in the resistor.

3. For an isotropic material, resistivity is given by ρ = \(\frac{E}{J}\)

For a particular resistor, the resistance R given by, R = \(\frac{V}{I}\)

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