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The surface charge density of a thin charged disc of radius R is σ. The value of the electric field at the center of the disc is sigma/(2∈_0). -

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Question

The surface charge density of a thin charged disc of radius R is σ. The value of the electric field at the center of the disc is `sigma/(2∈_0)`. With respect to the field at the center, the electric field along the axis at a distance R from the center of the disc ______.

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  • reduces by 70.7%

  • reduces by 29.3%

  • reduces by 9.7%

  • reduces by 14.6%

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Solution

The surface charge density of a thin charged disc of radius R is σ. The value of the electric field at the center of the disc is `sigma/(2∈_0)`. With respect to the field at the center, the electric field along the axis at a distance R from the center of the disc reduces by 70.7%.

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Electric Field - Electric Field Due to a System of Charges
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