Q122 / 180 · AIIMS 2012 · Physics

Electric field outside a long wire carrying charge $q$ is proportional to

Correct answer
A
$\frac{1}{r}$
B
$\frac{1}{r^2}$
C
$\frac{1}{r^{3 / 5}}$
D
$\frac{1}{r^{3 / 2}}$

Solution

Electric field due to a long charged wire is given as $E=\frac{\lambda}{2 \pi \epsilon_0 r}$ where, $\lambda=$ linear charge density. $r=$ distance from the wire. $\therefore \quad E \propto \frac{@}{r}$

Hence, the correct answer is option: 'A'.

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