If I is the current flowing through conductor and V is the potential difference across its end, then Ohm's Law is expressed as:

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  1. \(V=\frac{ 1}{ \sigma}\frac{ L}{ A}I\)
  2. \(V=\sigma\frac{ L}{ A}I\)
  3. \(V=\sigma\frac{ A}{ L}I\)
  4. \(V=\frac{ L}{ A}\frac{ 1}{ \rho}I\)

Answer (Detailed Solution Below)

Option 1 : \(V=\frac{ 1}{ \sigma}\frac{ L}{ A}I\)
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Detailed Solution

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The resistance of a wire is given by,

\(R = \frac{{ρ l}}{A}\)

ρ = resistivity of material

l = length of wire

A = area of cross-section

Ohm's law states that:

V = IR

σ = 1/ρ 

where, σ is the conductivity of the material. 

\(V=\frac{ 1}{ \sigma}\frac{ L}{ A}I\)

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