JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Electric Field and Potential

  • question_answer
    The magnitude of electric field \[E\] in the annular region of a charged cylindrical capacitor                                           [IIT 1996]

    A)                                                               Is same throughout

    B)                                                               Is higher near the outer cylinder than near the inner cylinder

    C)                                                               Varies as \[1/r\], where \[r\] is the distance from the axis

    D)                                                               Varies as \[1/{{r}^{2}}\], where \[r\] is the distance from the axis

    Correct Answer: C

    Solution :

                         The magnitude of electric field in the annular region of a charged cylindrical capacitor is given by \[E=\frac{1}{2\pi {{\varepsilon }_{0}}}\frac{\lambda }{r}\] where l is the charge per unit length and r is the distance from the axis of the cylinder. Thus \[E\propto \frac{1}{r}\]


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