1. Tardigrade
  2. Question
  3. Physics
  4. Three nonconducting large parallel plates have surface charge densities σ,−2σ and 4σ respectively as shown in figure. The electric field at the point P is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Three nonconducting large parallel plates have surface charge densities $σ,−2σ$ and $4σ$ respectively as shown in figure. The electric field at the point $P$ isPhysics Question Image

UPSEEUPSEE 2016

Solution:

image
The electric charge densities are $\sigma,-2 \sigma$ and $4 \sigma$, respectively.
Hence, electric field at point $P$ is given by
$E _{P} =\frac{\sigma}{2 \varepsilon_{0}}+\frac{-2 \sigma}{2 \varepsilon_{0}}+\frac{4 \sigma}{2 \varepsilon_{0}}$
$=\frac{\sigma-2 \sigma+4 \sigma}{2 \varepsilon_{0}}$
$=\frac{3 \sigma}{2 \varepsilon_{0}}$