10th Class Science Electricity and Circuits Question Bank Electricity

  • question_answer
    Three resistors are connected to form the sides of a triangle ABC. The resistance of side AB is 40 ohms, side BC is 60 ohms and that of side CA is 100 ohms. Find the effective resistance between points A and B in ohms.

    A) \[32\,\Omega \]                             

    B) \[50\,\Omega \]             

    C) \[64\,\Omega \]                             

    D) \[200\,\,\Omega \]

    Correct Answer: A

    Solution :

    Let the effective resistance between points A and B be R \[{{\text{R}}_{1}}\text{=4}0\Omega ,{{R}_{2}}=\text{1}00+\text{6}0=\text{16}0\Omega \] \[\frac{1}{R}=\frac{1}{40}+\frac{1}{160}=\frac{4+1}{160}=\frac{5}{160}\], \[R=\frac{160}{5}=32\Omega \]


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