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 (A)  (2 σ /ε0) widehatk (B) - (2 σ /ε0) widehatk (C)  (4 σ /ε0) widehatk (D) - (4 σ /ε0) widehatk

Tardigrade Admin · Accepted Answer

All the three plates will produce electric field at P along negative z-axis. Hence, Ep= [ (σ/2ε0)+ (2 σ/2ε0)+ (σ /2ε0) ](- widehatk)=- (2σ /ε0) widehatk ∴ Correct answer is (b).

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

$\frac{2 σ}{ε _{0}} k$

$- \frac{2 σ}{ε _{0}} k$

$\frac{4 σ}{ε _{0}} k$

$- \frac{4 σ}{ε _{0}} k$

All the three plates will produce electric field at P along negative z-axis. Hence,
$E_{p} = [\frac{σ}{2 ε _{0}} + \frac{2 σ}{2 ε _{0}} + \frac{σ}{2 ε _{0}}] (- k) = - \frac{2 σ}{ε _{0}} k$
$∴$ Correct answer is (b).

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