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10th Class Science Electricity and Circuits Question Bank Electricity

  • question_answer
    A cell of emf E volts with no internal resistance is connected to a wire of uneven cross-sectional area. The wire has three sections of equal length. The radius of the middle section is a and the other are 2 a. The ratio of the potential difference across the middle section to any other section is

    A)  2 :1                                       

    B)  4 : 1  

    C)  1:2                        

    D)         1 : 4

    Correct Answer: B

    Solution :

     In series I is same, so\[V\propto R\propto \frac{1}{{{r}^{2}}}\] So,          \[\frac{{{V}_{thin}}}{{{V}_{thick}}}={{\left( \frac{{{r}_{thick}}}{{{r}_{thin}}} \right)}^{2}}={{\left( \frac{2}{1} \right)}^{2}}=4:1\]


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