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JEE Mains · Physics · STD 12 - 1. Electric charges and fields

Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point \(P\) is \(\frac{x \sigma}{\epsilon_0}\). The value of \(x\) is _______. (all quantities are measured in \(SI\) units).

  1. A \(1\)
  2. B \(2\)
  3. C \(5\)
  4. D \(6\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2\)

Step-by-step Solution

Detailed explanation

\(\overrightarrow{\mathrm{E}}_{\mathrm{p}}=\left(\frac{\sigma}{2 \varepsilon_0}+\frac{2 \sigma}{2 \varepsilon_0}+\frac{\sigma}{2 \varepsilon_0}\right)(-\hat{\mathrm{i}})\) \(=-\frac{2 \sigma}{\varepsilon_0} \hat{\mathrm{i}}\)
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