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
- The electric field lines from an isolated positively charged conducting sphere are
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.
The variation of electric field with respect to distance from centre of a charged conducting spherical shell of radius R is given by :
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:
According to Gauss’s law, the electric field due to an infinitely long thin charged wire varies as:
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