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A point charges causes an electric flux ...

A point charges causes an electric flux of `-1.0 xx10^(3) Nm^(2) //C ` to pass through a spherical Gaussian surface of 10.0 cm radius centred on the charges.
If the radius of the Gaussian surface were doubled , how much flux would pass through the surface?
What is the value of the point charges?

Text Solution

Verified by Experts

Here electric flux ` phi_in =1.0xx 10^(3) Nm^(2)//C . `
The flux over a closed (spherical) Gaussian surface depends only upon the amount of charges present inside. Therefore , even on doubling the radius of the Gaussian surface , the value of electric flux remains unchanged at `-1.0xx10^(3) Nm^(2)//C . `
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Knowledge Check

  • A point charge causes an electric flux of -200 Nm^(2)//C to pass through spherical Guassian surface of 10 cm radius centered on the charge. If the radius of the Guassian surface is doubled, the total electric flux passing through the surface is

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    C
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  • A point charge produces an electric flux of -1xx10^(3)Nm^(2)//C to pass through a spherical gaussian surface of radius 10 cm cenred on the charge. What is the value of the point charge?

    A
    `7.85xx10^(-6)C`
    B
    `8.85xx10^(9)C`
    C
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    `4.425xx10^(-9)C`

  • A point charge 4muC is at the centre of a cubic Gaussian surface 10 cm on edge. Net electric flux through the surfaceis

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    B
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    C
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    D
    `2.5xx10^(6)Nm^(2)C^(-1)`

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