Two plates of same material 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.
Answer & explanation
Correct answer: option 2
The correct answer is Option 2: Both have the same resistance
Let resistivity = $\rho$ , Length of R = L thickness = t
Resistance of R is $R_1 = \frac{\rho L}{L.t} = \frac{\rho}{t}$
Resistance of S is $R_2 = \frac{\rho 2L}{2L.t}= \frac{\rho L}{L.t} = \frac{\rho}{t} $
Resistance of R is same as Resistance of S.