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) (2σ/ε0) hatk (B) - (2σ/ε0) hatk (C) (4σ/ε0) hatk (D) -(4σ/ε0) hatk

Tardigrade Admin · Accepted Answer

The electric field due to an infinite plane sheet of charge is independent of distance of point from the sheet. Applying the principle of superposition of electric field, the total electric field at P due to various plane sheets of charge will be

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}{ε _{0}} \hat{k}

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

$\frac{2 σ}{ε _{0}} \hat{k}$

$- \frac{2 σ}{ε _{0}} \hat{k}$

$\frac{4 σ}{ε _{0}} \hat{k}$

$- \frac{4 σ}{ε _{0}} \hat{k}$

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^

$\frac{2 σ}{ε _{0}} \hat{k}$

$- \frac{2 σ}{ε _{0}} \hat{k}$

$\frac{4 σ}{ε _{0}} \hat{k}$

$- \frac{4 σ}{ε _{0}} \hat{k}$