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

Options

A. `(2 sigma)/(epsilon_0) hatk`
B. `-(2 sigma)/(epsilon_0) hatk`
C. `(4 sigma)/(epsilon_0) hatk`
D. `-(4 sigma)/(epsilon_0) hatk`

Answer

B

Explanation

`E_P=(sigma)/(2epsilon_0) +((2sigma)/(2epsilon_0))+(sigma)/(2epsilon_0)=(4sigma)/(2epsilon_0)`
`vecE_P=(4sigma)/(2epsilon_0)(-hatk)=(-2sigma)/(epsilon_0)(hatk)`