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  • Two square metal plates A and B are of the same thickness and material. The side of B is twice of that of A. These are connected as shown in Fig. (series connection). If <img alt="R_A" src="https:/

Two square metal plates A and B are of the same thickness and material. The side of B is twice of that of A. These are connected as shown in Fig. (series connection). If R_A  and R_B are the resistances of A and B, respectively, then R_A / R_B is

Option: 1

1:2


Option: 2

2:1


Option: 3

1:1


Option: 4

4:1


Answers (1)

best_answer

The resistance is given by

\mathrm{R}=\frac{\rho \mathrm{L}}{\mathrm{A}}
here, metal plates A and B are of the same material hence, \rho is same for both the plates.
Now let, \mathrm{L}_{\mathrm{A}}=l and \mathrm{L}_{\mathrm{B}}=2l 

then A_A=A \text { and } A_B=2 A

\begin{aligned} & \frac{R_A}{R_B}=\frac{L_A A_B}{L_B A_A} \\ & \Rightarrow \frac{R_A}{R_B}=\frac{L \times 2 A}{2 L \times A} \\ & \Rightarrow \frac{R_A}{R_B}=\frac{1}{1} \end{aligned}

Posted by

Divya Prakash Singh

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