Physics · Ohm's law, electrical resistance, I-V characteristics of Ohmic and non-ohmic conductors
Consider a thin square sheet of side and thickness made of a material of resisti
Consider a thin square sheet of side \( \boldsymbol{L} \) and thickness \( t, \) made of a material of resistivity \( \rho . \) The resistance between two opposite faces, shown by the shaded areas in the figure is
- A. directly proportional to L
- B. directly proportional to t
- C. independent of
- D. independent of t
Step-by-step solution
The resistance between two opposite faces of a thin square sheet (with current flowing along the sheet) is given by R = ρ * (length)/(area) = ρ * L/(L * t) = ρ/t, which is independent of the side length L and inversely proportional to thickness t.
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