Six infinite non-conducting charged sheets are arranged in configurations I and II as shown. Adjacent sheets are 1 μm apart. If σ₀ = 9 μC m⁻² and ε₀ = 9 × 10⁻¹² F m⁻¹, which statements are correct?
Select all that apply

Question

Six infinite non-conducting charged sheets are arranged in configurations I and II as shown. Adjacent sheets are 1 μm apart. If σ₀ = 9 μC m⁻² and ε₀ = 9 × 10⁻¹² F m⁻¹, which statements are correct?

Select all that apply

G1 Physics · Accepted Answer

For an infinite sheet, field magnitude on either side is |σ|/(2ε₀). Superpose all six sheet fields.

Configuration I has charges +σ₀, −σ₀, +σ₀, −σ₀, +σ₀, −σ₀. Fields in regions 1 to 5 are respectively σ₀/ε₀, 0, σ₀/ε₀, 0, σ₀/ε₀. Hence A is true.

The potential drop across the five 1 μm gaps is 3 V in magnitude, not 5 V, so C is false.

For configuration II the fields alternate ±σ₀/(2ε₀), so region 3 does not have σ₀/ε₀ and the net potential difference is not zero. Hence B and D are false.

Correct option: A.