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JEE Main & Advanced Physics Electrostatics & Capacitance NEET PYQ - Electrostatics and Capacitance

  • question_answer
    A spherical conductor of radius 10 cm has a charge of \[3.2\times {{10}^{7}}C\]distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere?          [NEET 2020] \[\left( \frac{1}{4\pi {{\in }_{0}}}=9\times {{10}^{9}}N{{m}^{2}}/{{C}^{2}} \right)\]

    A) \[1.28\times {{10}^{5}}\,N/C\]

    B) \[1.28\times {{10}^{6}}\,N/C\]

    C) \[1.28\times {{10}^{7}}\,N/C\]

    D) \[1.28\times {{10}^{4}}\,N/C\]

    Correct Answer: A

    Solution :

    [a] Electric field outside a conducting sphere
                            \[E=\frac{1}{4\pi {{\in }_{0}}}\frac{Q}{{{r}^{2}}}\]
                            \[=\frac{9\times {{10}^{9}}\times 3.2\times {{10}^{-7}}}{225\times {{10}^{-4}}}\]
                            \[=0.128\times {{10}^{6}}\]
                            \[=1.28\times {{10}^{-5}}N/C\]


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