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Question

The variation of electric field with respect to distance from centre of a charged conducting spherical shell of radius R is given by :

The correct answer is

Inside a conducting spherical shell the electrostatic field is zero. Just outside the surface it jumps to \(k|Q|/R^2\) and then falls as \(k|Q|/r^2\). The second graph shows this behaviour.

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Important Questions from Applications of Gauss’s Law

  1. An infinitly long wire is charged uniformly with charge density λ and placed in air, the electric field at distance r from wire will be:

  2. An infinitely long straight uniformly charged wire has a linear charge density of $\lambda$. Calculate the work done by the electric field when a point charge $q$ is moved from an initial distance $r_1$ to a final distance $r_2$ ($r_2 > r_1$) from the wire.
  3. Find the electric field outside the cylinder, a distance r from the axis using Gauss's law, if a long & straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of λ, and the cylinder has a net charge per unit length of 2λ?

  4. An isotropic radiation has a field pattern given by $E=\frac{10I}{r} v/m$ where I is the terminal current and r is the distance in meters. The radiation resistance of the antenna is ____________.

  5. The electric field lines from an isolated positively charged conducting sphere are
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