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AP EAMCET · PHYSICS · Electrostatics

In a region, the intensity of an electric field is given by \(\overrightarrow{\mathrm{E}}=(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+\hat{\mathrm{k}}) \mathrm{NC}^{-1}\). The electric flux through a surface of area \(10 \hat{\mathrm{i}} \mathrm{m}^2\) in the region is

  1. A \(5 \mathrm{Nm}^2 \mathrm{C}^{-1}\)
  2. B \(10 \mathrm{Nm}^2 \mathrm{C}^{-1}\)
  3. C \(15 \mathrm{Nm}^2 \mathrm{C}^{-1}\)
  4. D \(20 \mathrm{Nm}^2 \mathrm{C}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(20 \mathrm{Nm}^2 \mathrm{C}^{-1}\)

Step-by-step Solution

Detailed explanation

An electric flux is given by \(\overrightarrow{\mathrm{E}}=(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+\hat{\mathrm{k}}) \mathrm{N} / \mathrm{C}\) Surface of area, \(\vec{A}=10 \hat{i} \mathrm{~m}^2\) Electric flux is given by…