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(a) Show that the normal component of el...

(a) Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by
`(E_(2)-E_(1)).n = sigma/epsilon_(0)`
where `hatn` is a unit vector normal to the surface at a point and `sigma` is the surface charge density at that point. (The direction of `hatn` is from side 1 to side 2.) Hence, show that just outside a conductor, the electric field is `sigma hatn //epsilon_(0)`.
(b) Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another. [Hint: For (a), use Gauss’s law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.]

Answer

Step by step text solution for (a) Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by (E_(2)-E_(1)).n = sigma/epsilon_(0) where hatn is a unit vector normal to the surface at a point and sigma is the surface charge density at that point. (The direction of hatn is from side 1 to side 2.) Hence, show that just outside a conductor, the electric field is sigma hatn //epsilon_(0). (b) Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another. [Hint: For (a), use Gauss’s law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.] by PHYSICS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • The magnitude of the electric field on the surface of a sphere of radius r having a uniform surface charge density sigma is

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    `sigma//epsi_(0)`
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    `sigma//2epsi_(0)`
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    `sigma//epsi_(0)r`
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    `sigma//2epsi_(0)r`

  • The magnitude of the electric field on the surface of a sphere of radius r having a uniform surface charge density sigma is

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    `sigma//epsilon_0`
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    `sigma//2epsilon_0`
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    `sigma//epsilon_0r`
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    `sigma//2epsilon_0r`

  • The magnitude of the electric field on the surface of a sphere of a sphere of radius r having a unifrom surface charge density sigma is

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    `sigma//epsilon_(0)`
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    `sigma//2epsilon_(0)`
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