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Two square metal plates A and B are of the same thickness and material. The side of B is twice that of A. These are connected as shown in series. If the resistances of A and B are denoted by $R_{A}$ and $R_{B}$ then ( $R_{A} / R_{B}$ ) is :

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1/2

2/1

1/1

4/1

answer is C.

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Detailed Solution

As we know, $Resistance = resistivityx \frac{length}{area}$

Since the side of the square is doubled the area of the plate B will be double that of plate A.

Since the length and area are both double.

$R_{A} = R_{B}$

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