The electric field intensity (E) at a distance of 3 m from a uniform long straight wire of linear charge…

The electric field intensity (E) at a distance of 3 m from a uniform long straight wire of linear charge density 0.2 m $\mathrm{Cm}^{-1}$ is
  1. $1.2 \times 10^3 \mathrm{Vm}^{-1}$
  2. $0.6 \times 10^3 \mathrm{Vm}^{-1}$
  3. $1.8 \times 10^3 \mathrm{Vm}^{-1}$
  4. $2.4 \times 10^3 \mathrm{Vm}^{-1}$

Solution

The electric field at a distance r from a uniform straight wire is $\begin{aligned} & \mathrm{E}=\frac{2 \mathrm{k} \lambda}{\mathrm{r}}=\frac{2 \times 9 \times 10^9 \times 0.2 \times 10^{-6}}{3} \\ & =1.2 \times 10^3 \mathrm{Vm}^{-1} \end{aligned}$

Asked in: AP EAMCET 2024 (21 May Shift 2)

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