10th Class Science Electricity and Circuits Question Bank Electricity

  • question_answer
    Consider a thin square sheet of side x and thickness y made of a material of resistivity \[\rho \]. The resistance between two opposite faces, shown by the shaded areas in the figure is

    A) Directly proportional to x

    B) Directly proportional to y

    C) Independent of x

    D) Independent of y.

    Correct Answer: C

    Solution :

    We know, \[R=\rho \frac{l}{A}\] Here, resistivity \[=\rho ,\,l=x,\,A=xy\] \[\therefore \]\[R=\rho \frac{l}{A}=\rho \frac{x}{xy}\] or,\[R=\frac{\rho }{y}\] Thus, resistance between two opposite faces, shown by the shaded areas in the figure is independent of \[x.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner