Two plates R and S are in the form of a square and have the same thickness. A side of S is twice the side of R. Compare their resistances. The direction of current is shown by an arrow head in figure.

Question

Two plates R and S are in the form of a square and have the same thickness. A side of S is twice the side of R. Compare their resistances. The direction of current is shown by an arrow head in figure. (A) The resistance of R is twice that of S (B) Both have the same resistance (C) The resistance of S is four times that of R (D) The resistance of R is half that of S

Tardigrade Admin · Accepted Answer

Both plates have same thickness, RR=(ρ l/i d) text and Rs=(ρ 2 l/2 l d) ∴ (R1/R2)=1

Q. Two plates $R$ and $S$ are in the form of a square and have the same thickness. A side of $S$ is twice the side of $R$ . Compare their resistances. The direction of current is shown by an arrow head in figure.

The resistance of R is twice that of S

Both have the same resistance

The resistance of S is four times that of R

The resistance of R is half that of S

Both plates have same thickness,
$R_{R} = \frac{ρl}{i d} and R_{s} = \frac{ρ 2 l}{2 l d}$
$∴ \frac{R _{1}}{R _{2}} = 1$

Q. Two plates R and S are in the form of a square and have the same thickness. A side of S is twice the side of R. Compare their resistances. The direction of current is shown by an arrow head in figure.