1. Tardigrade
  2. Question
  3. Physics
  4. A conductor with rectangular cross-section has dimensions (a × 2 a × 4 a) as shown in the figure. Resistance across AB is x , across CD is y and across EF is z . Then - . <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-a6wmnhoolwcc.png />

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A conductor with rectangular cross-section has dimensions $\left(a \times 2 a \times 4 a\right)$ as shown in the figure. Resistance across $AB$ is $x$ , across $CD$ is $y$ and across $EF$ is $z$ . Then -

.

Question

NTA AbhyasNTA Abhyas 2020Current Electricity

Solution:

We know that $R=\frac{\rho l}{A}$
$x=\frac{\rho \left(4 a\right)}{a \times 2 a}=\frac{2 \rho }{a}$
$y=\frac{\rho \left(a\right)}{2 a \times 4 a}=\frac{\rho }{8 a}$
$z=\frac{\rho \left(2 a\right)}{a \times 4 a}=\frac{\rho }{2 a}$
$\therefore \, x>z>y$