(a) There is an infinitely long thread uniformly charged with linear charge density `lamda C//m`. Using Gauss’ law, calculate the electric field `(E_0)` at a distance x from the thread. (b) Now consider a semi-infinite uniformly charged thread (linear charge density `= lamda`) as shown in figure. Find the y component of electric field at point P in terms of `E_0`. Use simple qualitative argument. (c) For the situation described in (b) calculate the x component of electric field at point P using the method of integration. (d) Find the angle that the electric field at P makes with x direction.

Answer

(a). `E_(0)=(lamda)/(2piepsilon_(0)x)`
(b). `E_(y)=(E_(0))/(2)`
(c). `E_(x)=(E_(0))/(2)=(lamda)/(4pi epsilon_(0)x)`
(d). `45^(@)`