JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Graphical Questions

  • question_answer
    A cylindrical conductor has uniform cross-section. Resistivity of its material increase linearly from left end to right end. If a constant current is flowing through it and at a section distance x from left end, magnitude of electric field intensity is E, which of the following graphs is correct

    A)                          

    B)           

    C)                          

    D)           

    Correct Answer: B

    Solution :

               Let resistivity at a distance 'x' from left end be \[\rho =({{\rho }_{0}}+ax).\] Then electric field intensity at a distance 'x' from left end will be equal to \[E=\frac{i\rho }{A}=\frac{i({{\rho }_{0}}+ax)}{A}\] where i is the current flowing through the conductor. It means \[E\propto \rho \] or E varies linearly with distance 'x'. But at x = 0, E has non-zero value. Hence  is correct.


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