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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. 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. 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?

  3. 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 ____________.

  4. The electric field lines from an isolated positively charged conducting sphere are
  5. Consider an infinitely long straight wire with uniform linear charge density $\lambda$. The electric field $E$ at a distance $r$, perpendicular to the length of the wire, is:
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