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Question

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.

The correct answer is
$\frac{q\lambda}{2\pi \epsilon_0} \ln\left(\frac{r_2}{r_1}\right)$
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Important Questions from Applications of Gauss’s Law

  1. According to Gauss’s law, the electric field due to an infinitely long thin charged wire varies as:

  2. 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:

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

  4. A charge Q is placed at the centre of a cube. Find the flux of the electric field through the six surfaces of the cube.

  5. 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?

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