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The dimensions of electric current in electric conductivity are

Question

The dimensions of electric current in electric conductivity are

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Solution

The dimensions of electric current in electric conductivity are represented by the formula I = Q/t, where I is the current, Q is the charge, and t is the time.

  1. Start with the formula for electric current, I = Q/t. This tells us that current is charge per unit time.

  2. The SI unit for charge is the coulomb (C), and the SI unit for time is the second (s). Therefore, the unit for electric current is the ampere (A), which is equivalent to a coulomb per second (C/s).

  3. Electric conductivity (σ) is a measure of a material's ability to conduct electric current. It is defined as the ratio of the current density (J) to the electric field strength (E). In mathematical terms, σ = J/E.

  4. The SI unit for current density is amperes per square meter (A/m²), and the SI unit for electric field strength is volts per meter (V/m). Therefore, the unit for electric conductivity is siemens per meter (S/m), which is equivalent to (A/m²) / (V/m).

  5. Therefore, the dimensions of electric current in electric conductivity are represented by the ampere (A).

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