question_answer

Two infinitely large charged planes having uniform surface charge density \[+\,\sigma \] and \[-\,\sigma \] are placed along x-y plane and yz plane respectively as shown in the figure. Then the nature of electric lines of forces in x-z plane is given by:

A)

B)

C)

D)

Correct Answer: C

Solution :

The electric field intensity due to each uniformly charged infinite plane is uniform. The electric field intensity at points A, B, C and D due to plane 1, plane 2 and both planes are given by \[{{E}_{1}},\]\[{{E}_{2}}\] and E as shown in figure 1. Hence the electric lines of forces are as given in figure 2. Aliter : Electric lines of forces originate from positively charged plane and terminate at negatively charged plane. Hence the correct representation of ELOF is as shown figure 2.