Question

Two infinitely long parallel conducting plates having surface charge densities +σ cand -σ respectively are separated by a small distance. The medium between the plates is a vacuum. If ε₀ is the dielectric permittivity of the vacuum, then the electric field in the region between the plates is ______.

विकल्प

• 0 Vm^-1

• `sigma/(2ε_0)` Vm^-1

• `sigma/ε_0` Vm^-1

• `(zsigma)/ε_0` Vm^-1

Answer 1

Two infinitely long parallel conducting plates having surface charge densities +σ cand -σ respectively are separated by a small distance. The medium between the plates is a vacuum. If ε₀ is the dielectric permittivity of the vacuum, then the electric field in the region between the plates is `underlinebb(sigma/ε_0 Vm^-1)`.

Explanation:

Between the plates, i.e., in region II as shown in the figure, the electric field is given by,

(i)	(ii)

`E = 1/(2ε_0)(sigma_1 - sigma_2) = 1/(2ε_0)(2sigma)`

∵ `sigma_1 = sigma  "and"  sigma_2 = -sigma`

= `sigma/ε_0` V/m