Consider a thin square sheet of side L and thickness t, made of a material of resistivity ρ. The resistance between two opposite faces, shown by the shaded areas in the figure is

Question

Consider a thin square sheet of side L and thickness t, made of a material of resistivity ρ. 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 L (D) independent of t

Tardigrade Admin · Accepted Answer

R=(ρ(L)/A)=(ρ L/tL)=(ρ/t) i.e. R is independent of L. Hence the correct option is (c).

Q. Consider a thin square sheet of side $L$ and thickness $t$ , made of a material of resistivity $ρ$ . The resistance between two opposite faces, shown by the shaded areas in the figure is

directly proportional to L

directly proportional to t

independent of L

independent of t

$R = \frac{ρ ( L )}{A} = \frac{ρ L}{t L} = \frac{ρ}{t}$
i.e. R is independent of L.
Hence the correct option is (c).

Q. Consider a thin square sheet of side L and thickness t, made of a material of resistivity ρ. The resistance between two opposite faces, shown by the shaded areas in the figure is