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Electrical Engineering QUESTION #2191
Question 1
Using Gauss's law, an infinite line charge with $\rho_L = 20\,\text{nC/m}$ in free space produces an electric field at $r = 5\,\text{cm}$ of:
  • $7{,}193\,\text{V/m}$✔️
  • $3{,}597\,\text{V/m}$
  • $14{,}386\,\text{V/m}$
  • $1{,}798\,\text{V/m}$
Correct Answer Explanation
$E = \frac{\rho_L}{2\pi\epsilon_0 r} = \frac{20\times10^{-9}}{2\pi\times8.854\times10^{-12}\times0.05} = \frac{20\times10^{-9}}{2.781\times10^{-12}} \approx 7{,}193\,\text{V/m}$.