Skip to content
Question 83 of 122

Q.The electric field at a point outside the plates of two oppositely charged plane sheets of charge density 'σ\sigma' is :

(a) σε0\dfrac{\sigma}{\varepsilon_0}
(b) +σ2ε0\dfrac{+\sigma}{2\varepsilon_0}
(c) zero
(d) −σ2ε0\dfrac{-\sigma}{2\varepsilon_0}
Puducherry TnboardTamil Nadu HSC (DGE) Board 2018MCQ· 1mImportance★★★★★
68% · 83/122 Questions
🔒 Locked · start free trial →

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Start your 14-day free trial to unlock the full solution →

The electric field at a point outside two oppositely charged parallel sheets of equal charge density is zero.

A single infinite plane sheet of charge density σ\sigma produces a uniform field of magnitude σ2ε0\dfrac{\sigma}{2\varepsilon_0} on each side, directed away from the sheet if σ\sigma is positive and towards it if σ\sigma is negative.

For two parallel sheets facing each other with densities +σ+\sigma and −σ-\sigma (a parallel-plate arrangement):

  • Between the plates, the field from the +σ+\sigma sheet (pointing away from it, into the gap) and the field from the −σ-\sigma sheet (pointing towards it, also into the gap) point in the same direction, so they add: Ebetween=σ2ε0+σ2ε0=σε0E_{between} = \dfrac{\sigma}{2\varepsilon_0}+\dfrac{\sigma}{2\varepsilon_0}=\dfrac{\sigma}{\varepsilon_0}. …

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.