# 06-04 Potential of Infinite Sheets of Charge and Conducting Slab?

0

An infinite sheet of charge is located in the y-z 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 x-component of the electric field at point P, located at (x,y) = (5 cm, 0)?

Also Check This  paramagnetic or diamagnetic?

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 x-component of the electric field at point T, located at (x,y) = (29 cm, -14 cm)?

Also Check This  The cone and the cylinder below have equal surface area.?

6) Which of the folowing plots gives the correct x-dependence 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