Three parallel sheets of charge, large enough to be treated as infinite sheets, are perpendicular to the x-axis.

- Sheet A has a surface charge density [tex]\sigma_a = 8.00 \, \text{nC/m}^2[/tex].
- Sheet B is 4.00 cm to the right of Sheet A and has a surface charge density [tex]\sigma_b = -5.00 \, \text{nC/m}^2[/tex].
- Sheet C is 4.00 cm to the right of Sheet B, so it is 8.00 cm to the right of Sheet A, and has a surface charge density [tex]\sigma_c = 6.00 \, \text{nC/m}^2[/tex].

a) True

b) False

The statement regarding the positioning and the specified surface charge densities of the three parallel sheets of charge is a) true, as each sheet's specified distance from the preceding sheet aligns with the given values.

Explanation:

The question involves understanding the electric fields generated by three parallel sheets of charge that are treated as infinite and are perpendicular to the x-axis. According to the details provided, Sheet A, with surface charge density σa = 8.00 nC/m², is followed by Sheet B at a distance of 4.00 cm with a surface charge density of σb = -5.00 nC/m², and then Sheet C, also 4.00 cm to the right of Sheet B (making it 8.00 cm to the right of Sheet A) with a surface charge density of σc = 6.00 nC/m². Considering the information provided, the statement that Sheet B is 4.00 cm to the right of Sheet A and Sheet C is 8.00 cm to the right of Sheet A is a) true.