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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Gauss's Law

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Gauss's Law

As shown in the figure, two large conducting plates are positioned...

As shown in the figure, two large conducting plates are positioned parallel to each other and carry equal and opposite charges with surface density σ\sigma. Determine the electric field to the left of the plates.
As shown in the figure, two large conducting plates are positioned parallel to each other and carry equal and opposite

Options

  1. Aσ2ε0\dfrac{\sigma}{2\varepsilon_0}
  2. B00
  3. Cσε0\dfrac{\sigma}{\varepsilon_0}
  4. D2σε0\dfrac{2\sigma}{\varepsilon_0}

Correct answer

B. 00

Step-by-step solution

Let the surface charge density on the positive plate be +σ+\sigma and on the negative plate be −σ-\sigma.

The electric field produced by a large plane sheet of charge with surface charge density σ\sigma is given by E=σ2ε0E = \dfrac{\sigma}{2\varepsilon_0}.

For a point to the left of both plates:
The electric field due to the positive plate is directed towards the left (away from the plate) with magnitude E+=σ2ε0E_+ = \dfrac{\sigma}{2\varepsilon_0}.

The electric field due to the negative plate is directed towards the right (towards the plate) with magnitude E−=σ2ε0E_- = \dfrac{\sigma}{2\varepsilon_0}.

Since these two fields are in opposite directions, the net electric field is their vector sum:
Enet=E+−E−=σ2ε0−σ2ε0=0E_{net} = E_+ - E_- = \dfrac{\sigma}{2\varepsilon_0} - \dfrac{\sigma}{2\varepsilon_0} = 0

Therefore, the electric field to the left of the plates is zero.
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