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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Self Evaluation Test - Electric Chages and Fields

  • question_answer
    A uniformly charged conducting sphere of 4.4 m diameter has a surface charge density of \[60\mu C{{m}^{-2}}.\]The charge on the sphere is

    A) \[7.3\times {{10}^{-3}}C\]

    B) \[3.7\times {{10}^{-6}}C\]

    C) \[7.3\times {{10}^{-6}}C\]

    D) \[3.7\times {{10}^{-3}}C\]

    Correct Answer: D

    Solution :

    [d] Here, \[D=2r=4.4m,or=f=2.2m\] \[\sigma =60\mu C{{m}^{-2}}\] Charge on the sphere, \[q=\sigma \times 4\pi {{r}^{2}}\] \[=60\times {{10}^{-6}}\times 4\times \frac{22}{7}\times {{\left( 2.2 \right)}^{2}}=3.7\times {{10}^{-3}}C\]


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