COMEDK · Physics · 17. Electrostatics
What is the electric field near infinite plane sheet of charge density \(\sigma\) ?
- A \(\dfrac{\sigma}{2 \varepsilon_{0}}\)
- B \(\dfrac{\sigma A}{2 \varepsilon_{0}}\)
- C \(\dfrac{\sigma}{2 \varepsilon_{0} A}\)
- D \(\dfrac{\sigma}{\varepsilon_{0}}\)
Answer & Solution
Correct Answer
(A) \(\dfrac{\sigma}{2 \varepsilon_{0}}\)
Step-by-step Solution
Detailed explanation
Consider an infinite plane sheet of charge with uniform surface charge density \(\sigma\). By symmetry, the electric field \(\vec{E}\) must be perpendicular to the sheet and directed away from it if \(\sigma > 0\). Construct a Gaussian surface in the form of a cylindrical…
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