A very large nonconducting plate lying in the xyplane carrie

A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 3. A second such plate located at z = 2.65 cm and oriented parallel to the xy-plane carries a charge per unit area of 2. Find the electric field for the following.

(a) z < 0
/₀

(b) 0 < z < 2.65 cm
/₀

(c) z > 2.65 cm
/₀

Solution

For a large plate of charge with uniform charge density of , the electric field, at a point nearby is given: /20

Further, it needs to be noted that the electric field for a positively charged plate will be directed away from it, while for a negatively charged plate, it will directed towards it.

Now, for the given situation, we have:

a.) for z<0: E due to plate at z =0 will be downwards while that due to the negatively charged one will be along positive z axis

Therefore, Enet = -3/20 + 2/20 = -/20

b.) for 0 < z < 2.65: Electric field due to positively charged will be along +z axis, same as that for negatively charged plate.

Therefore, Enet = 3/20 + 2/20 = +5/20

c.) for z> 2.65: The electric field due to negatively charged plate will be along - Z axis while that due to positively charged plate will be along +z axis.

Therefore, Enet = 3/20 - 2/20 = /20