Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is

Question

Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-fh5zlazvpuhacgpt.jpg" /> (A) (2 σ/ε0) hat k  (B) - (2 σ /ϵ 0) hat textk (C) (4 σ/ε0) hat k  (D) -(4 σ/ε0) hatk

Tardigrade Admin · Accepted Answer

vec E P =(σ/2 ε0)(- hat k )+((-2 σ)/2 ε0)( hat k )+((-σ)/2 ε0)( hat k ) =(-2 σ hat k /ε0)

Q. Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is

$\frac{2 σ}{ε _{0}} \hat{k}$

$- \frac{2 σ}{ϵ _{0}} \hat{k}$

$\frac{4 σ}{ε _{0}} \hat{k}$

$- \frac{4 σ}{ε _{0}} \hat{k}$

$E_{P} = \frac{σ}{2 ε _{0}} (- \hat{k}) + \frac{( - 2 σ )}{2 ε _{0}} (\hat{k}) + \frac{( - σ )}{2 ε _{0}} (\hat{k})$
$= \frac{- 2 σ k ^}{ε _{0}}$

Q. Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is

ε0​2σ​k^

−ϵ0​2σ​k^

ε0​4σ​k^

−ε0​4σ​k^

EP​=2ε0​σ​(−k^)+2ε0​(−2σ)​(k^)+2ε0​(−σ)​(k^) =ε0​−2σk^​

$\frac{2 σ}{ε _{0}} \hat{k}$

$- \frac{2 σ}{ϵ _{0}} \hat{k}$

$\frac{4 σ}{ε _{0}} \hat{k}$

$- \frac{4 σ}{ε _{0}} \hat{k}$

$E_{P} = \frac{σ}{2 ε _{0}} (- \hat{k}) + \frac{( - 2 σ )}{2 ε _{0}} (\hat{k}) + \frac{( - σ )}{2 ε _{0}} (\hat{k})$
$= \frac{- 2 σ k ^}{ε _{0}}$