AIIMS2019Physics-Electric Fields

AIIMS 2019 Physics Electric Field Between Sheets MCQ Question

Type: MCQ-conceptual-Medium-Class 12

Two parallel large thin metal sheets have equal surface charge densities (σ=26.4×1012 C/m2\sigma = 26.4 \times 10^{-12} \text{ C/m}^2) of same signs. The electric field between these sheet is

A

1.5 N/C1.5 \text{ N/C}

B

1.5×1010 N/C1.5 \times 10^{-10} \text{ N/C}

C

Zero

D

3×1010 N/C3 \times 10^{-10} \text{ N/C}

Correct Answer

Option C

Detailed Explanation

When the surface charge densities σ₁ and σ₂ are equal (σ₁ = σ₂), the electric field E between the sheets becomes zero, as indicated by the formula E = (σ₁ - σ₂) / (2ε₀). This means that there is no net electric field in the region between the sheets, which is a fundamental concept in electrostatics where equal and opposite charges create a neutral field. Options (1), (2), and (4) do not accurately reflect the condition of zero electric field when the charge densities are equal, making them incorrect in this context. Understanding this principle is crucial for analyzing electric fields created by charged conductors.

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