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

Options

A. `(2 sigma)/(epsilon_(0))hat(k)`
B. `-(2 sigma)/(epsilon_(0))hat(k)`
C. `(4 sigma)/(epsilon_(0))hat(k)`
D. `-(4sigma)/(epsilon_(0))hat(k)`

Answer

B

Explanation

`vec(E )= (sigma)/(2epsilon_(0))hat(k)-(2 sigma)/(2epsilon_(0))hat(k)-(sigma)/(2epsilon_(0))k= -(2sigma)/(epsilon_(0))hat(k)`