An infinite sheet of charge is located in the yz plane at x = 0 and has uniform charge density σ1 = 0.73 μC/m2. Another infinite sheet of charge with uniform charge density σ2 = 0.67 μC/m2 is located at x = c = 24 cm. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 10 cm and x = 14 cm).
1) What is Ex(P), the xcomponent of the electric field at point P, located at (x,y) = (5 cm, 0)?
2) What is σa, the charge density on the surface of the conducting slab at x = 10 cm?
3) What is V(R) – V(P), the electrical potentital difference between point P and point R, located at (x,y) = (5 cm, 14 cm)?
4) What is V(S) – V(P), the potentital difference between point P and point S, located at (x,y) = (19 cm, 14 cm)?
5) What is Ex(T), the xcomponent of the electric field at point T, located at (x,y) = (29 cm, 14 cm)?
6) Which of the folowing plots gives the correct xdependence for the potential function between x = 0 and x = 24 cm?
– Formulas below 🙂
1 Answer

Epsilon = (8.85 x 10^6)
1) ( σ1 / (2)(Epsilon) ) + ( σ2 / 2(Epsilon) )
2) Since the slab is a conductor σ must be in the middle or (median / average)
– ( σ1 + σ2 ) / 2
3) They are on the same equipotential lines so 0.
4) (Efield)(distance to point P)
5) ( σ1 / (2)(Epsilon) ) – ( σ2 / (2)(Epsilon) )
Source(s): Professor of Yahoo School of Physics