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If the intensity of an electric field is...

If the intensity of an electric field is `3xx10^(6) V* m^(-1)` or more, electric discharge takes place in air. What maximum potential can be applied on a sphere of diameter 5 m? What maximum charge can it retain?

Text Solution

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`7.5xx10^(6),2.08xx10^(-3)C`
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Knowledge Check

  • A circular copper ring of radius r, placed in vacuum, has charge q on it. The electric field intensity at the centre of the ring is E_(1) . The electric field intensity on the axis of the ring at a distance x from its centre is E_(2) . The value of E_(2) will be maximum when x=x' What is the value of E_(1) ?

    A
    0
    B
    `qxxpi r^(2)`
    C
    `qxx2pir^(2)`
    D
    `q/(r^(2))`

  • A circular copper ring of radius r, placed in vacuum, has charge q on it. The electric field intensity at the centre of the ring is E_(1) . The electric field intensity of the axis of the ring at a distance x from its centres is E_(2) . The value of E_(2) will be maximum when x=x' What is the value of E_(2) ?

    A
    `q/((x^(2)+r^(2))^(1//2))`
    B
    `(qx^(2))/((x^(2)+r^(2))^(3//2))`
    C
    `q/((x^(2)+r^(2))^(3//2))`
    D
    `(qx)/((x^(2)+r^(2))^(3//2))`

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